Masterpieces: The Best Science Fiction of the Century, edited by Orson Scott Card, 2002. Includes stories by Isaac Asimov, Greg Bear, Gregory Benford, Arthur C. Clarke, William Gibson, Robert A. Heinlein, Ursula K. Le Guin, Frederik Pohl, Kim Stanley Robinson and Robert Silverberg.
Empire of Dreams and Miracles: The Phobos Science Fiction Anthology, edited by Orson Scott Card and Keith Olexa, 2002. "They Go Bump" by David Barr Kirtley, "Twenty-Two Buttons" by Rebecca Carmi, "The Hanged Man, the Lovers and the Fool" by Justin Stanchfield, "Empire of Dreams and Miracles" by James Maxey, "The Messiah" by Carl Frederick, "Eula Makes Up Her Mind" by Daniel Conover, "Carthaginian Rose" by Ken Liu, "Rippers" by Chris Leonard, "The Compromise" by Rick Sabian, "Who Lived in a Shoe" by Andrew Rey, "The Prize" by David Barr Kirtley and "Great Theme Prisons of the World" by Carl Frederick
Future on IceEdited by Orson Scott Card, 1998 (paperback due out in 2000). Contents: The Fringe by Orson Scott Card, Press Enter by John Varley, Robot Dream by Isaac Asimov, Dinosaurs by Walter Jon Williams, Portraits of His Children by George R. R. Martin, Tourists by Lisa Goldstein, Blood Music by Greg Bear, Speech Sounts by Octavia Butler, Pots by C. J. Cherryh, Time's Rub by Gregory Benford, The Pure Product by John Kessel, Out of All Them Bright Stars by Nancy Kress, Snow by John Crowley, Klein's Machine by Andrew Weiner, Face Value by Karen Joy Fowler, Cabracan by Lewis Shiner, Rockabye Baby by S. C. Sykes and Shanidar by David Zindell. Read Excerpts from the book.
Maps in a Mirror - out of print: The Short Fiction of Orson Scott Card, Hardcover (675 pages), 1990. Includes all the stories in The Changed Man, Flux, Cruel Miracles and Monkey Sonatas. Also includes a number of stories not included in the books below bringing the total to 46 stories. Audio Tape edition - released November 1999 with Orson Scott Card's voice brining the stories to life.
Future on Fire, Mass Market Paperback, 1991. Anthology of 15 stories from the '80s with an introduction by the Orson Scott Card: Rachel in Love by Pat Murphy, Dogfight by Michael Swanwick and William Gibson, A Gift from the GrayLanders by Michael Bishop, Fire Zone Emerald by Lucius Shepard, Down and Out in the Year 2000 by Kim Stanley Robinson, Angel Baby by Rachel Pollack, The Neighbor's Wife by Susan Palwick, I am the Burning Bush by Gregg Keizer, Pretty Boy Crossover by Pat Cadigan, Buffalo Gals, Won't You Come Out Tonight by Ursula K. Le Guin, All My Darling Daughters by Connie Willis, In the Realm of the Heart - In the World of the Knife by Wayne Wightman, Rat by James Patrick Kelly, Vestibular Man by Felix C. Gotschalk and Green Days in Brunei by Bruce Sterling.
Turning Hearts: Short Stories on Family Life, Edited by Orson Scott Card and David Dollahite, 1994.
In the Shadow of the Wall - includes one story by Card, along with 16 more by other authors, in reaction to the Vietnam Wall.
Storyteller in Zion by Orson Scott Card (originally published in 1993) is now available in paperback. It is not a science fiction book rather Card collects essays and speeches on his Morman faith. More information on the book.
edition - released November 1999 with Orson Scott Card's voice brining the stories to life. 
Best Science Fiction Value Collection II - Audio Tape edited by Orson Scott Card and Martin Greenberg, 1997.