Anne McCaffrey's Short Story Collections
Pern stories are purple

Get Off the Unicorn
Written by Anne McCaffrey, published by Ballantine
1st edition (paperback) June 1977, ISBN 0-345-34935-0
Included Stories & Original Publish Dates (if known)
"Lady in the Tower," 1959, now in The Rowan
"A Meeting of Minds," 1969, now in Damia
"Daughter," 1971, 1st story about Nora Fenn
"Dull Drums," 1973, 2nd story about Nora Fenn
"Changeling"
"Weather on Welladay," 1969
"The Thorns of Barevi," 1970, now in Freedom's Landing
"Horse from a Different Sea"
"Great Canine Chorus," 1971
"Finder's Keeper," 1973
"A Proper Santa Claus," 1973
"The Smallest Dragonboy," 1973, the impression of Keevan
"Apple," 1969, now in To Ride Pegasus
"Honeymoon" sequel to The Ship Who Sang

The Girl Who Heard Dragons
Written by Anne McCaffrey, published by Tor Books
1st hardback edition May 1994, ISBN 0-312-93173-5
Cover and included art by Michael Whelan
Included Stories:
"The Girl Who Heard Dragons"
"Velvet Fields"
"Euterpe on a Fling"
"Duty Calls"
"A Sleeping Humpty Dumpty Beauty"
"The Mandalay Cure"
"A Flock of Geese"
"The Greatest Love"
"A Quiet One"
"If Madam Likes You..."
"Zulei, Grace, Nimshi, and the Damnyankees"
"Cinderella Switch"
"Habit Is an Old Horse"
"Lady-in-Waiting"
"The Bones Do Lie"

Anne McCaffrey's short stories in other anthologies

Legends: Short Novels by the Masters of Modern Fantasy
Edited by Robert Silverberg, published by Tor Books
1st hardback edition October 1998, ISBN 0-312-86787-5
Artwork by Michael Whelan and others
Included Authors & Stories:
Steven King, The Dark Tower:  "The Little Sisters of Eluria," 74p.
Terry Pratchett, Discworld:  "The Sea & the Little Fishes," 48p.
Terry Goodking, The Sword of Truth:  "Debt of Bones," 76p.
Orson Scott Card, Tales of Alvin Maker:  "Grinning Man," 40p.
Robert Silverberg, Majipoor:  "The Seventh Shrine," 78p.
Ursula K. Le Guin, Earthsea:  "Dragonfly," 64p.
Tad Williams, Memory, Sorrow, & Thorn:  "The Burning Man," 54p.
George R. R. Martin, A Song of Ice & Fire:  "The Hedge Knight," 84p.
Anne McCaffrey, Pern:  "Runner of Pern," 60p.
Raymond E. Feist, The Riftwar Saga:  "The Wood Boy," 36p.
Robert Jordon, The Wheel of Time:  "New Spring," 84p.

Far Horizons: All New Tales from the Greatest Worlds of Science Fiction
Edited by Robert Silverberg, published by Avon Books
1st hardback edition May 1999, ISBN 0-380-97630-7
Included Authors & Stories:
Ursula K. Le Guin, The Ekumen: "Old Music and the Slave Women," 46p.
Joe Haldeman, The Forever War: "A Separate War," 33p.
Orson Scott Card, The Ender Series: "Investment Counselor," 26p.
David Brin, The Uplift Universe: "Temptation," 54p.
Robert Silverberg, Roma Eterna: "Getting to Know the Dragon," 29p.
Dan Simmons, The Hyperion Cantos: "Orphans of the Helix," 47p.
Nancy Kress, The Sleepless: "Sleeping Dogs," 32p.
Frederik Pohl, Tales of the Heechee: "The Boy Who Would Live Forever," 45p.
Gregory Benford, The Galactic Center Series: "A Hunger for the Infinite," 33p.
Anne McCaffrey, The Ship Who Sang: "The Ship Who Returned," 37p.
Greg Bear, The Way: "The Way of All Ghosts,"61p.