Robert Silverberg and Karen Haber launched annual anthologies for both science fiction and fantasy in 2002 for ibooks in mass market paperback. The introduction to the first SF volume notes the two ongoing SF annuals (by Dozois and Hartwell/Cramer) but suggests that the wealth of the field allowed room for a third. Silverberg & Haber's fantasy volume followed Hartwell/Cramer's first fantasy volume by a year. (These books followed Harrison/Aldiss' policy in being titled for the year of publication of the stories, not the books -- in contrast to Wollheim's series.)
Silverberg stepped away after two years, with Jonathan Strahan, heretofore editor of two anthologies of Australian science fiction and fantasy and co-editor of the Australian 'zine
Eidolon, joining Haber as co-editor. No fantasy volume appeared for 2003. Volumes for 2005 were announced, but did not appear, as the publisher filed for bankruptcy following ibooks founder Byron Preiss' death. Strahan subsequently published SF and fantasy volumes for 2005 with Locus Press in 2006, then published his first combined SF and fantasy volume in 2007.
Most-reprinted authors: James Patrick Kelly (4), then Stephen Baxter, Jeffrey Ford, Ursula K. Le Guin, Robert Reed, Charles Stross, and Michael Swanwick (3 each).
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Science Fiction: The Best of 2001, (ibooks, 2002)
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Fantasy: The Best of 2001, (ibooks, 2002)
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Science Fiction: The Best of 2002, (ibooks, 2003)
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Fantasy: The Best of 2002, (ibooks, 2003)
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Science Fiction: The Best of 2003, (ibooks, 2004)
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Science Fiction: The Best of 2004, (ibooks, 2005)
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Fantasy: The Best of 2004, (ibooks, 2005)
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Combined Contents by Author and Title
Brian W. Aldiss
Aboard the Beatitude
(30th Anniversary DAW: Science Fiction, 2002)
-- Science Fiction: The Best of 2002
Poul Anderson
The Lady of the Winds
(F&SF Oct/Nov 2001)
-- Fantasy: The Best of 2001
Catherine Asaro
Ave de Paso
(Redshift: Extreme Visions of Speculative Fiction, 2001)
-- Fantasy: The Best of 2001
Paolo Bacigalupi
The Fluted Girl
(F&SF Jun 2003)
-- Science Fiction: The Best of 2003
The People of Sand and Slag
(F&SF Feb 2004)
-- Science Fiction: The Best of 2004
Robin Wayne Bailey
Keepers of Earth
(Silicon Dreams, 2001)
-- Science Fiction: The Best of 2001
Stephen Baxter
The Chop Line
(Asimov's Dec 2003)
-- Science Fiction: The Best of 2003
PeriAndry's Quest
(Analog Jun 2004)
-- Science Fiction: The Best of 2004
Sun-Cloud
(Starlight 3, 2001)
-- Science Fiction: The Best of 2001
Peter S. Beagle
Quarry
(F&SF May 2004)
-- Fantasy: The Best of 2004
Gregory Benford
Anomalies
(Redshift: Extreme Visions of Speculative Fiction, 2001)
-- Science Fiction: The Best of 2001
Michael Blumlein
Know How, Can Do
(F&SF Dec 2001)
-- Science Fiction: The Best of 2001
Orson Scott Card
Angles
-- Science Fiction: The Best of 2002
Ted Chiang
Hell Is the Absence of God
(Starlight 3, 2001)
-- Fantasy: The Best of 2001
Liking What You See: A Documentary
(Stories of Your Life and Others, 2002)
-- Science Fiction: The Best of 2002
Paul Di Filippo
Ailoura
(Once Upon a Galaxy, 2002)
-- Fantasy: The Best of 2002
Cory Doctorow
Flowers from Alice
(by CD & Charles Stross)
(New Voices in Science Fiction, 2003)
-- Science Fiction: The Best of 2003
Rosemary Edghill
The Mould of Form
(Villains Victorious, 2001)
-- Fantasy: The Best of 2001
Carol Emshwiller
All of Us Can Almost...
(Sci Fiction website Nov 17 2004)
-- Science Fiction: The Best of 2004
Jeffrey Ford
The Annals of Eelin-Ok
(The Faery Reel: Tales from the Twilight Realm, 2004)
-- Fantasy: The Best of 2004
Creation
(F&SF May 2002)
-- Fantasy: The Best of 2002
The Empire of Ice Cream
(Sci Fiction website Feb 26 2003)
-- Science Fiction: The Best of 2003
Neil Gaiman
Forbidden Brides of the Faceless Slaves in the Nameless House of the Night of Dread Desire
(Gothic! Ten Original Dark Tales, 2004)
-- Fantasy: The Best of 2004
A Study in Emerald
(Shadows Over Baker Street, 2003)
-- Science Fiction: The Best of 2003
Jim Grimsley
Into Greenwood
(Asimov's Sep 2001)
-- Science Fiction: The Best of 2001
Joe Haldeman
Memento Mori
(Amazing Oct 2004)
-- Science Fiction: The Best of 2004
M. John Harrison
Tourism
(Amazon.com Aug 2004)
-- Science Fiction: The Best of 2004
Brian A. Hopkins
Diving the Coolidge
(Historical Hauntings, 2001)
-- Fantasy: The Best of 2001
James Patrick Kelly
Bernardo's House
(Asimov's Jun 2003)
-- Science Fiction: The Best of 2003
The Best Christmas Ever
(Sci Fiction website May 26 2004)
-- Science Fiction: The Best of 2004
Luck
(Asimov's Jun 2002)
-- Fantasy: The Best of 2002
Undone
(Asimov's Jun 2001)
-- Science Fiction: The Best of 2001
Nancy Kress
And No Such Things Grow Here
(Asimov's Jun 2001)
-- Science Fiction: The Best of 2001
My Mother, Dancing
(Destination 3001, 2000)
-- Science Fiction: The Best of 2004
Jay Lake
The Angel's Daughter
(Realms of Fantasy Aug 2004)
-- Fantasy: The Best of 2004
Geoffrey A. Landis
The Long Chase
(Asimov's Feb 2002)
-- Science Fiction: The Best of 2002
John Langan
Mr. Gaunt
(F&SF Sep 2002)
-- Fantasy: The Best of 2002
Ursula K. Le Guin
The Bones of the Earth
(Tales from Earthsea, 2001)
-- Fantasy: The Best of 2001
Confusions of Uñi
(Changing Planes, 2003)
-- Science Fiction: The Best of 2003
Social Dreaming of the Frin
(F&SF Oct/Nov 2002)
-- Fantasy: The Best of 2002
Yoon Ha Lee
The Black Abacus
(F&SF Jun 2002)
-- Science Fiction: The Best of 2002
David D. Levine
The Tale of the Golden Eagle
(F&SF Jun 2003)
-- Science Fiction: The Best of 2003
Kelly Link
The Faery Handbag
(The Faery Reel: Tales from the Twilight Realm, 2004)
-- Fantasy: The Best of 2004
Elizabeth A. Lynn
The Silver Dragon
(Flights: Extreme Visions of Fantasy, 2004)
-- Fantasy: The Best of 2004
Ian R. MacLeod
Breathmoss
(Asimov's May 2002)
-- Science Fiction: The Best of 2002
Lawrence Miles
Grass
(F&SF Sep 2001)
-- Fantasy: The Best of 2001
James Morrow
The War of the Worldviews
(Mars Probes, 2002)
-- Science Fiction: The Best of 2002
Susan Mosser
Bump Ship
(Trampoline, 2003)
-- Science Fiction: The Best of 2003
Jack O'Connell
Legerdemain
(F&SF Oct/Nov 2001)
-- Fantasy: The Best of 2001
Tim Powers
Pat Moore
(Flights: Extreme Visions of Fantasy, 2004)
-- Fantasy: The Best of 2004
Christopher Priest
The Discharge
(Sci Fiction website Feb 13 2002)
-- Science Fiction: The Best of 2002
David Prill
Dating Secrets of the Dead
(F&SF Jun 2002)
-- Fantasy: The Best of 2002
Robert Reed
Coelacanths
(F&SF Mar 2002)
-- Science Fiction: The Best of 2002
The Majesty of Angels
(F&SF Sep 2002)
-- Fantasy: The Best of 2002
Opal Ball
(F&SF Oct/Nov 2004)
-- Science Fiction: The Best of 2004
Deborah Roggie
The Enchanted Trousseau
(Lady Churchill's Rosebud Wristlet #14 2004)
-- Fantasy: The Best of 2004
Benjamin Rosenbaum
Droplet
(F&SF Jul 2002)
-- Science Fiction: The Best of 2002
Christopher Rowe
The Voluntary State
(Sci Fiction website May 5 2004)
-- Science Fiction: The Best of 2004
George Saunders
Jon
(New Yorker Jan 27 2003)
-- Science Fiction: The Best of 2003
Robert Sheckley
Agamemnon's Run
(30th Anniversary DAW: Science Fiction, 2002)
-- Fantasy: The Best of 2002
Lucius Shepard
Eternity and Afterward
(F&SF Mar 2001)
-- Fantasy: The Best of 2001
Only Partly Here
(Asimov's Mar 2003)
-- Science Fiction: The Best of 2003
Robert Silverberg
The Sorcerer's Apprentice
(Flights: Extreme Visions of Fantasy, 2004)
-- Fantasy: The Best of 2004
Dan Simmons
On K2 with Kanakaredes
(Redshift: Extreme Visions of Speculative Fiction, 2001)
-- Science Fiction: The Best of 2001
Brian Stableford
The Face of an Angel
(Leviathan 3, 2002)
-- Fantasy: The Best of 2002
Charles Stross
Elector
(Asimov's Sep 2004)
-- Science Fiction: The Best of 2004
Flowers from Alice
(by Cory Doctorow & CS)
(New Voices in Science Fiction, 2003)
-- Science Fiction: The Best of 2003
Tourist
(Asimov's Feb 2002)
-- Science Fiction: The Best of 2002
Michael Swanwick
The Dog Said Bow-Wow
(Asimov's Oct/Nov 2001)
-- Science Fiction: The Best of 2001
Legions in Time
(Asimov's Apr 2003)
-- Science Fiction: The Best of 2003
The Word That Sings the Scythe
(Asimov's Oct/Nov 2004)
-- Fantasy: The Best of 2004
Robert Thurston
Slipshod, at the Edge of the Universe
(F&SF Mar 2001)
-- Fantasy: The Best of 2001
Greg van Eekhout
Wolves Till the World Goes Down
(Starlight 3, 2001)
-- Fantasy: The Best of 2001
Jeff VanderMeer
Three Days in a Border Town
(Polyphony, Volume 4, 2004)
-- Science Fiction: The Best of 2004
Vernor Vinge
The Cookie Monster
(Analog Oct 2003)
-- Science Fiction: The Best of 2003
Richard Wadholm
From Here You Can See the Sunquists
(Asimov's Jan 2001)
-- Science Fiction: The Best of 2001
Howard Waldrop
Calling Your Name
(Stars: Original Stories Based on the Songs of Janis Ian, 2003)
-- Science Fiction: The Best of 2003
Ian Watson
One of Her Paths
(F&SF Oct/Nov 2001)
-- Science Fiction: The Best of 2001
Walter Jon Williams
The Tang Dynasty Underwater Pyramid
(Sci Fiction website Aug 4 2004)
-- Science Fiction: The Best of 2004
Chris Willrich
King Rainjoy's Tears
(F&SF Jul 2002)
-- Fantasy: The Best of 2002
Gene Wolfe
The Little Stranger
(F&SF Oct/Nov 2004)
-- Fantasy: The Best of 2004
The Lost Pilgrim
(First Heroes: New Tales of the Bronze Age, 2004)
-- Science Fiction: The Best of 2004
Ron Wolfe
Our Friend Electricity
(F&SF Jun 2002)
-- Fantasy: The Best of 2002