Editor and historian Mike Ashley, whose nonfiction includes several volumes on the history of the science fiction magazines, has produced volumes in "The Mammoth Book of..." anthologies published by Robinson in the UK, and Carroll & Graf in the US, since 1988, many of theme on historic fantasy themes (King Arthur) or on comedic themes ("Seriously Comic Fantasy"). Grouped here are seven on more general fantasy and science fiction themes (only 2 shown in the photo).
Authors most reprinted in this group: Michael Swanwick (5); Geoffrey A. Landis (4); Gregory Benford, Fritz Leiber, and Robert Silverberg (3 each).
 
 
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The Mammoth Book of Fantasy, (Robinson, 2001)
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The Mammoth Book of Science Fiction, (Robinson, 2002)
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The Mammoth Book of Extreme Science Fiction, (Robinson, 2006)
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The Mammoth Book of Extreme Fantasy, (Robinson, 2008)
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The Mammoth Book of Mindblowing SF, (Robinson, 2009)
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The Mammoth Book of Apocalyptic SF, (Robinson, 2010)
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The Mammoth Book of Time Travel SF, (Robinson, 2013)
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Combined Contents by Author and Title
Brian W. Aldiss
 Shards 
   
(F&SF Apr 1962)
 -- The Mammoth Book of Science Fiction
A. A. Attanasio
 The Dark One: A Mythograph 
   
(Crank! #4 1994)
 -- The Mammoth Book of Extreme Fantasy
Dale Bailey
 The Rain at the End of the World 
   
(F&SF Jul 1999)
 -- The Mammoth Book of Apocalyptic SF
Kage Baker
 The Catch
   
(Asimov's Oct/Nov 2004)
 -- The Mammoth Book of Time Travel SF
David Barnett
 The End of the World Show 
   
(Postscripts Win 2006)
 -- The Mammoth Book of Apocalyptic SF
William Barton
 Moments of Inertia 
   
(Asimov's Apr/May 2004)
 -- The Mammoth Book of Apocalyptic SF
Stephen Baxter
 The Children of Time 
   
(Asimov's Jul 2005)
 -- The Mammoth Book of Apocalyptic SF
Elizabeth Bear
 And the Deep Blue Sea 
   
(Sci Fiction website May 4 2005)
 -- The Mammoth Book of Apocalyptic SF
Greg Bear
 Judgment Engine 
   
(Far Futures, 1995)
 -- The Mammoth Book of Extreme Science Fiction
Gregory Benford
 Anomalies 
   
(Redshift: Extreme Visions of Speculative Fiction, 2001)
 -- The Mammoth Book of Extreme Science Fiction
 Caveat Time Traveler
   
 -- The Mammoth Book of Time Travel SF
 A Dance to Strange Musics 
   
(Science Fiction Age Nov 1998)
 -- The Mammoth Book of Mindblowing SF
Terry Bisson
 The Hole in the Hole
   
(Asimov's Feb 1994)
 -- The Mammoth Book of Mindblowing SF
James P. Blaylock
 Nets of Silver and Gold 
   
(IASFM Dec 1984)
 -- The Mammoth Book of Fantasy
James Blish
 Bridge 
   
(Astounding Feb 1952)
 -- The Mammoth Book of Mindblowing SF
Leah Bobet
 Lost Wax 
   
(Realms of Fantasy Dec 2006)
 -- The Mammoth Book of Extreme Fantasy
Damien Broderick
 Coming Back 
   
(F&SF Dec 1982)
 -- The Mammoth Book of Time Travel SF
 The Meek 
   
(Synergy SF: New Science Fiction, 2004)
 -- The Mammoth Book of Apocalyptic SF
Keith Brooke
 Hotrider 
   
(Aboriginal SF Dec 1991)
 -- The Mammoth Book of Mindblowing SF
Molly Brown
 Women on the Brink of a Cataclysm 
   
(Interzone Jan 1994)
 -- The Mammoth Book of Time Travel SF
Pat Cadigan
 Death in the Promised Land 
   
(Omni Online Mar 1995)
 -- The Mammoth Book of Extreme Science Fiction
Orson Scott Card
 Sandmagic 
   
(Swords Against Darkness, 1979)
 -- The Mammoth Book of Extreme Fantasy
James Cawthorn
 Kings in Darkness
 (by JC & Michael Moorcock) 
(Science-Fantasy Aug 1962)
 -- The Mammoth Book of Fantasy
Ted Chiang
 Tower of Babylon 
   
(Omni Nov 1990)
 -- The Mammoth Book of Extreme Fantasy
Simon Clark
 Dear Tomorrow
   
 -- The Mammoth Book of Time Travel SF
Arthur C. Clarke
 Out of the Sun 
   
(If Feb 1958)
 -- The Mammoth Book of Mindblowing SF
Mark Clifton
 What Have I Done? 
   
(Astounding May 1952)
 -- The Mammoth Book of Science Fiction
Theodore R. Cogswell
 The Wall Around the World 
   
(Beyond Fantasy Fiction Sep 1953)
 -- The Mammoth Book of Fantasy
Elizabeth Counihan
 The Star Called Wormwood 
   
(Asimov's Dec 2004)
 -- The Mammoth Book of Apocalyptic SF
Ian Creasey
 The Edge of the Map
   
(Asimov's Jun 2006)
 -- The Mammoth Book of Mindblowing SF
Sheila Crosby
 Scream Quietly 
   
(Farthing Jul 2005)
 -- The Mammoth Book of Time Travel SF
Peter Crowther
 Dream a Little Dream for Me... 
   
(Perchance to Dream, 2000)
 -- The Mammoth Book of Extreme Fantasy
 Palindromic 
   
(First Contact, 1997)
 -- The Mammoth Book of Mindblowing SF
Charles de Lint
 Pixel Pixies 
   
 -- The Mammoth Book of Fantasy
Paul Di Filippo
 ...And the Dish Ran Away with the Spoon 
   
(Sci Fiction website Nov 19 2003)
 -- The Mammoth Book of Extreme Science Fiction
 Jack Neck and The Worrybird 
   
(Science Fiction Age Jul 1998)
 -- The Mammoth Book of Extreme Fantasy
Philip K. Dick
 The Exit Door Leads In 
   
(Rolling Stone College Papers #1 1979)
 -- The Mammoth Book of Science Fiction
Cory Doctorow
 Flowers from Alice
 (by CD & Charles Stross) 
(New Voices in Science Fiction, 2003)
 -- The Mammoth Book of Extreme Science Fiction
 When Sysadmins Ruled the Earth 
   
(Jim Baen's Universe (online) Aug 2006)
 -- The Mammoth Book of Apocalyptic SF
Andy Duncan
 Senator Bilbo 
   
(Starlight 3, 2001)
 -- The Mammoth Book of Extreme Fantasy
Lord Dunsany
 The Hoard of the Gibbelins 
   
(The Sketch Jan 25 1911)
 -- The Mammoth Book of Fantasy
Malcolm Edwards
 After-Images 
   
(Interzone #4 1983)
 -- The Mammoth Book of Time Travel SF
Greg Egan
 The Infinite Assassin 
   
(Interzone Jun 1991)
 -- The Mammoth Book of Science Fiction
 Wang's Carpets
   
(New Legends, 1995)
 -- The Mammoth Book of Extreme Science Fiction
H. Chandler Elliott
 Inanimate Objection 
   
(Galaxy Feb 1954)
 -- The Mammoth Book of Science Fiction
Harlan Ellison
 Paladin of the Lost Hour 
   
(Universe 15, 1985)
 -- The Mammoth Book of Fantasy
 The Region Between
   
(Galaxy Mar 1970)
 -- The Mammoth Book of Extreme Science Fiction
Jeffrey Ford
 Boatman's Holiday
   
(F&SF Oct/Nov 2005)
 -- The Mammoth Book of Extreme Fantasy
Stephen L. Gillett
 Waterworld
 (by SLG & Jerry Oltion) 
(Analog Mar 1994)
 -- The Mammoth Book of Extreme Science Fiction
Lisa Goldstein
 The Fantasma of Q____ 
   
(Ms. Mar/Apr 1998)
 -- The Mammoth Book of Fantasy
Dominic Green
 The Clockwork Atom Bomb 
   
(Interzone May/Jun 2005)
 -- The Mammoth Book of Apocalyptic SF
Melissa Mia Hall
 The Fence at the End of the World 
   
(Realms of Fantasy Aug 2002)
 -- The Mammoth Book of Extreme Fantasy
Peter F. Hamilton
 Deathday
   
(Fear! Feb 1991)
 -- The Mammoth Book of Science Fiction
William Hope Hodgson
 Eloi Eloi Lama Sabachthani
   
(Nash's Magazine Sep 20 1919)
 -- The Mammoth Book of Extreme Fantasy
Robert E. Howard
 The Valley of the Worm
   
(Weird Tales Feb 1934)
 -- The Mammoth Book of Fantasy
Rhys H. Hughes
 The Old House under the Snow where Nobody Goes Except You and Me Tonight 
   
(Postscripts Sum 2004)
 -- The Mammoth Book of Extreme Fantasy
Sushma Joshi
 The End of the World 
   
 -- The Mammoth Book of Apocalyptic SF
Colin Kapp
 The Pen and the Dark
   
(New Writings in SF. 8, 1966)
 -- The Mammoth Book of Science Fiction
James Patrick Kelly
 Undone 
   
(Asimov's Jun 2001)
 -- The Mammoth Book of Extreme Science Fiction
Ellen Klages
 Time Gypsy 
   
(Bending the Landscape: Science Fiction, 1998)
 -- The Mammoth Book of Time Travel SF
Damon Knight
 Anachron 
   
(If Jan 1954)
 -- The Mammoth Book of Science Fiction
R. A. Lafferty
 The All-At-Once Man
   
(Galaxy Jul 1970)
 -- The Mammoth Book of Extreme Fantasy
David J. Lake
 The Truth About Weena 
   
(Dreaming Down-Under, 1998)
 -- The Mammoth Book of Time Travel SF
Geoffrey A. Landis
 Approaching Perimelasma 
   
(Asimov's Jan 1998)
 -- The Mammoth Book of Science Fiction
 The Last Sunset 
   
(Asimov's Feb 1996)
 -- The Mammoth Book of Apocalyptic SF
 The Long Chase 
   
(Asimov's Feb 2002)
 -- The Mammoth Book of Extreme Science Fiction
 Vacuum States 
   
(IASFM Jul 1988)
 -- The Mammoth Book of Mindblowing SF
Ursula K. Le Guin
 Darkrose and Diamond
   
(F&SF Oct/Nov 1999)
 -- The Mammoth Book of Fantasy
Tanith Lee
 A Hero at the Gates
   
(Shayol #3 1979)
 -- The Mammoth Book of Fantasy
Fritz Leiber
 The Howling Tower
   
(Unknown Jun 1941)
 -- The Mammoth Book of Fantasy
 A Pail of Air 
   
(Galaxy Dec 1951)
 -- The Mammoth Book of Apocalyptic SF
 Try and Change the Past
   
(Astounding Mar 1958)
 -- The Mammoth Book of Time Travel SF
Jonathan Lethem
 Using It and Losing It 
   
(Journal Wired Sum/Fll 1990)
 -- The Mammoth Book of Extreme Fantasy
David D. Levine
 Charlie the Purple Giraffe Was Acting Strangely 
   
(Realms of Fantasy Jun 2004)
 -- The Mammoth Book of Extreme Fantasy
Paul Levinson
 The Chronology Protection Case
   
(Analog)
 -- The Mammoth Book of Time Travel SF
George MacDonald
 The Golden Key 
   
(Dealings with the Fairies, 1867)
 -- The Mammoth Book of Fantasy
Elisabeth Malartre
 Darwin's Suitcase
   
(Jim Baen's Universe (online) Dec 2007)
 -- The Mammoth Book of Time Travel SF
David I. Masson
 Traveller's Rest
   
(New Worlds Sep 1965)
 -- The Mammoth Book of Time Travel SF
Larry McCombs
 The Peacock King
 (by LM & Ted White) 
(F&SF Nov 1965)
 -- The Mammoth Book of Mindblowing SF
Ian McDonald
 The Days of Solomon Gursky 
   
(Asimov's Jun 1998)
 -- The Mammoth Book of Extreme Science Fiction
Patricia A. McKillip
 Lady of the Skulls 
   
(Strange Dreams, 1993)
 -- The Mammoth Book of Fantasy
Sean McMullen
 A Ring of Green Fire 
   
(Interzone Nov 1994)
 -- The Mammoth Book of Extreme Fantasy
 Walk to the Full Moon 
   
(F&SF Dec 2002)
 -- The Mammoth Book of Time Travel SF
A. Merritt
 The Moon Pool
   
(All-Story Weekly Jun 22 1918)
 -- The Mammoth Book of Fantasy
Michael Moorcock
 Elric at the End of Time
   
(Elsewhere, 1981)
 -- The Mammoth Book of Extreme Fantasy
 Kings in Darkness
 (by James Cawthorn &  MM) 
(Science-Fantasy Aug 1962)
 -- The Mammoth Book of Fantasy
John Morressy
 Except My Life...
   
(Amazing Jul 1991)
 -- The Mammoth Book of Science Fiction
Linda Nagata
 The Flood 
   
(More Amazing Stories, 1998)
 -- The Mammoth Book of Apocalyptic SF
John Starr Niendorff
 I Am Bonaro 
   
(Fantastic Dec 1964)
 -- The Mammoth Book of Extreme Fantasy
G. David Nordley
 Into the Miranda Rift 
   
(Analog Jul 1993)
 -- The Mammoth Book of Mindblowing SF
Jerry Oltion
 Waterworld
 (by Stephen L. Gillett &  JO) 
(Analog Mar 1994)
 -- The Mammoth Book of Extreme Science Fiction
Lawrence Person
 Crucifixion Variations 
   
(Asimov's May 1998)
 -- The Mammoth Book of Extreme Science Fiction
 Master Lao and the Flying Horror 
   
(Postscripts Sum 2005)
 -- The Mammoth Book of Extreme Fantasy
Frederik Pohl
 Fermi and Frost 
   
(IASFM Jan 1985)
 -- The Mammoth Book of Apocalyptic SF
Frank L. Pollock
 Finis 
   
(Argosy Jun 1906)
 -- The Mammoth Book of Science Fiction
Tim Pratt
 Cup and Table 
   
(Twenty Epics, 2006)
 -- The Mammoth Book of Extreme Fantasy
Christopher Priest
 I, Haruspex 
   
(The Third Alternative #16 1998)
 -- The Mammoth Book of Extreme Fantasy
 Palely Loitering 
   
(F&SF Jan 1979)
 -- The Mammoth Book of Time Travel SF
Tom Reamy
 The Detweiler Boy 
   
(F&SF Apr 1977)
 -- The Mammoth Book of Extreme Fantasy
Robert Reed
 At the "Me" Shop
   
(Tomorrow Apr 1995)
 -- The Mammoth Book of Science Fiction
Alastair Reynolds
 Merlin's Gun
   
(Asimov's May 2000)
 -- The Mammoth Book of Extreme Science Fiction
 Tiger, Burning 
   
(Forbidden Planets, 2006)
 -- The Mammoth Book of Mindblowing SF
Keith Roberts
 High Eight
   
(New Writings in SF. 4, 1965)
 -- The Mammoth Book of Science Fiction
Kim Stanley Robinson
 Vinland the Dream 
   
(IASFM Nov 1991)
 -- The Mammoth Book of Science Fiction
Kristine Kathryn Rusch
 Red Letter Day
   
(Analog Sep 2010)
 -- The Mammoth Book of Time Travel SF
Eric Frank Russell
 Into Your Tent I'll Creep
   
(Astounding Sep 1957)
 -- The Mammoth Book of Science Fiction
Darrell Schweitzer
 King Yvorian's Wager
   
(Weird Tales Win 1989/90)
 -- The Mammoth Book of Fantasy
Robert Sheckley
 A Ticket to Tranai 
   
(Galaxy Oct 1955)
 -- The Mammoth Book of Science Fiction
Lucius Shepard
 The Man Who Painted the Dragon Griaule
   
(F&SF Dec 1984)
 -- The Mammoth Book of Fantasy
Robert Silverberg
 Needle in a Timestack 
   
(Playboy Jun 1983)
 -- The Mammoth Book of Time Travel SF
 Our Lady of the Sauropods 
   
(Omni Sep 1980)
 -- The Mammoth Book of Mindblowing SF
 When We Went to See the End of the World 
   
(Universe 2, 1972)
 -- The Mammoth Book of Apocalyptic SF
Clifford D. Simak
 The Creator 
   
(Marvel Tales Mar/Apr 1935)
 -- The Mammoth Book of Extreme Science Fiction
 A Death in the House 
   
(Galaxy Oct 1959)
 -- The Mammoth Book of Science Fiction
Clark Ashton Smith
 The Last Hieroglyph
   
(Weird Tales Apr 1935)
 -- The Mammoth Book of Fantasy
Mike Strahan
 "In the Beginning, Nothings Lasts ..."
   
 -- The Mammoth Book of Time Travel SF
Charles Stross
 Flowers from Alice
 (by Cory Doctorow &  CS) 
(New Voices in Science Fiction, 2003)
 -- The Mammoth Book of Extreme Science Fiction
Theodore Sturgeon
 The Girl Had Guts 
   
(Venture Jan 1957)
 -- The Mammoth Book of Extreme Science Fiction
 Yesterday Was Monday 
   
(Unknown Jun 1941)
 -- The Mammoth Book of Fantasy
Michael Swanwick
 The Edge of the World 
   
(Full Spectrum 2, 1989)
 -- The Mammoth Book of Fantasy
 Legions in Time 
   
(Asimov's Apr 2003)
 -- The Mammoth Book of Time Travel SF
 Mother Grasshopper 
   
(A Geography of Unknown Lands, 1997)
 -- The Mammoth Book of Mindblowing SF
 Radio Waves 
   
(Omni Win 1995)
 -- The Mammoth Book of Extreme Fantasy
 The Very Pulse of the Machine 
   
(Asimov's Feb 1998)
 -- The Mammoth Book of Science Fiction
Steve Rasnic Tem
 Twember
   
 -- The Mammoth Book of Time Travel SF
James Tiptree, Jr.
 The Man Who Walked Home 
   
(Amazing May 1972)
 -- The Mammoth Book of Apocalyptic SF
Steven Utley
 The Wind Over the World
   
(Asimov's Oct/Nov 1996)
 -- The Mammoth Book of Time Travel SF
B. Vallance
 The New Humans 
   
(Pearson's Magazine Dec 1909)
 -- The Mammoth Book of Extreme Science Fiction
Jack Vance
 The Sorcerer Pharesm
   
(F&SF Apr 1966)
 -- The Mammoth Book of Fantasy
John Varley
 The Black Hole Passes 
   
(F&SF Jun 1975)
 -- The Mammoth Book of Mindblowing SF
 The Pusher 
   
(F&SF Oct 1981)
 -- The Mammoth Book of Time Travel SF
Howard Waldrop
 Save a Place in the Lifeboat for Me 
   
(Nickelodeon #2 1976)
 -- The Mammoth Book of Extreme Fantasy
George C. Wallis
 The Last Days of Earth 
   
(The Harmsworth Magazine Jul 1901)
 -- The Mammoth Book of Science Fiction
Ian Watson
 The Very Slow Time Machine 
   
(Anticipations, 1978)
 -- The Mammoth Book of Time Travel SF
 The Width of the World 
   
(Universe 13, 1983)
 -- The Mammoth Book of Mindblowing SF
Lawrence Watt-Evans
 Real Time 
   
(IASFM Jan 1989)
 -- The Mammoth Book of Time Travel SF
Ted White
 The Peacock King
 (by Larry McCombs &  TW) 
(F&SF Nov 1965)
 -- The Mammoth Book of Mindblowing SF
Kate Wilhelm
 Bloodletting 
   
(Omni Jun 1994)
 -- The Mammoth Book of Apocalyptic SF
Liz Williams
 The Banquet of the Lords of Night 
   
(Asimov's Jun 2002)
 -- The Mammoth Book of Extreme Fantasy
 Century to Starboard 
   
(Strange Horizons (online) Feb 2 2004)
 -- The Mammoth Book of Time Travel SF
Jack Williamson
 Terraforming Terra 
   
(Science Fiction Age Nov 1998)
 -- The Mammoth Book of Apocalyptic SF
Connie Willis
 Fire Watch 
   
(IASFM Feb 15 1982)
 -- The Mammoth Book of Science Fiction
Jack Womack
 Audience 
   
(The Horns of Elfland, 1997)
 -- The Mammoth Book of Fantasy
Timothy Zahn
 Cascade Point
   
(Analog Dec 1983)
 -- The Mammoth Book of Mindblowing SF
Roger Zelazny
 The Bells of Shoredan
   
(Fantastic Mar 1966)
 -- The Mammoth Book of Fantasy