Now you're making it difficult. I don't know those other stories you describe. Fortunately PRESS ENTER seems to be the least reprinted of Varley's short stories, because it's only in a handful of the books listed on that site. I was able to rule out most of the list. Here's the remaining contenders (this is going to be a bit long):
Nebula Awards, No 20 by George Zebrowski
Nebula Awards 20: SFWA’s Choices for the Best in Science Fiction 1984 ed. George Zebrowski (Harcourt Brace Jovanovich 0-15-164927-8, Nov ’85 [Dec ’85], $17.95, 372pp, hc); Anthology featuring winners and runners-up for the 1984 Nebula Awards.
ix • Introduction • George Zebrowski • in
1 • 1984 or Against • Algis Budrys • ar *
16 • Bloodchild • Octavia E. Butler • nv IASFM Jun ’84
38 • The Man Who Painted the Dragon Griaule [Griaule] • Lucius Shepard • nv F&SF Dec ’84
69 • PRESS ENTER [] • John Varley • na IASFM May ’84
136 • New Rose Hotel • William Gibson • ss Omni Jul ’84
149 • The Greening of Bed-Stuy • Frederik Pohl • na F&SF Jul ’84
213 • The Lucky Strike • Kim Stanley Robinson • nv Universe 14, ed. Terry Carr, Doubleday, 1984
252 • Morning Child • Gardner R. Dozois • ss Omni Jan ’84
260 • The Aliens Who Knew, I Mean, Everything • George Alec Effinger • ss F&SF Oct ’84
278 • A Cabin on the Coast • Gene Wolfe • ss F&SF Feb ’84
292 • Dogs’ Lives • Michael Bishop • nv The Missouri Review v7 #2 ’84
313 • The Eichmann Variations • George Zebrowski • ss Light Years and Dark, ed. Michael Bishop, Berkley, 1984
323 • Love Song to Lucy • Herman Herlich • pm Science 83, 1983
324 • Lucy Answers • Herman Herlich • pm Science 83, 1983
325 • Saul’s Death: Two Sestinas • Joe W. Haldeman • pm There Will Be War v1, ed. Jerry E. Pournelle, Tor, 1983; Omni Feb ’83
328 • Science Fiction Films of 1984 • Bill Warren • ar *
355 • SFWA, the Guild • Norman Spinrad • ar *
361 • About the Nebula Award • Misc. Material • ms
363 • The 1984 Nebula Awards Ballot • Misc. Material • bi
366 • Past Nebula Award Winners • Misc. Material • bi
Terry Carr's Best Science Fiction of the Year, No 14, 1984 by Terry Carr
Terry Carr’s Best Science Fiction of the Year #14 ed. Terry Carr (Tor 0-812-53273-2, Jul ’85 [Jun ’85], $3.50, 384pp, pb); Anthology, one of the four year’s bests. Recommended. (CNB)
9 • Introduction • Terry Carr • in
11 • PRESS ENTER [] • John Varley • na IASFM May ’84
73 • Blued Moon • Connie Willis • nv IASFM Jan ’84
108 • Summer Solstice • Charles L. Harness • nv Analog Jun ’84
153 • Morning Child • Gardner R. Dozois • ss Omni Jan ’84
160 • The Aliens Who Knew, I Mean, Everything • George Alec Effinger • ss F&SF Oct ’84
176 • A Day in the Skin (or, The Century We Were Out of Them) • Tanith Lee • ss Habitats, ed. Susan Shwartz, DAW, 1984
194 • Instructions • Bob Leman • ss F&SF Sep ’84
203 • The Lucky Strike • Kim Stanley Robinson • nv Universe 14, ed. Terry Carr, Doubleday, 1984
240 • Green Hearts • Lee Montgomerie • ss Interzone #10 ’84
258 • Bloodchild • Octavia E. Butler • nv IASFM Jun ’84
278 • Trojan Horse • Michael Swanwick • nv Omni Dec ’84
312 • Fears • Pamela Sargent • ss Light Years and Dark, ed. Michael Bishop, Berkley, 1984
325 • Trinity • Nancy Kress • na IASFM Oct ’84
375 • 1984, the SF Year in Review • Charles N. Brown • ar, 1985
383 • Recommended Reading • Terry Carr • bi
Future on Ice by Orson Scott Card (Editor)
Probably not it, since it's from 1998, but PRESS ENTER is in there so just in case:Future on Ice ed. Orson Scott Card (Tor 0-312-86694-1, Oct ’98 [Sep ’98], $24.95, 432pp, hc); SF anthology of 18 stories, a companion to Future on Fire, with preface and introduction “Science Fiction and ’The Force’” by Card. Authors include Isaac Asimov, Lisa Goldstein, Octavia E. Butler, and John Varley.
9 • Preface • Orson Scott Card • pr
11 • Science Fiction and “The Force” • Orson Scott Card • in
27 • Robot Dreams [Susan Calvin (Robot)] • Isaac Asimov • ss Robot Dreams, Berkley, 1986
35 • Portraits of His Children • George R. R. Martin • nv IASFM Nov ’85
73 • Tourists • Lisa Goldstein • ss IASFM Feb ’85
87 • Blood Music • Greg Bear • nv Analog Jun ’83
113 • Time’s Rub • Gregory Benford • ss Cheap Street: New Castle, VA, 1984
129 • Shanidar • David Zindell • nv L. Ron Hubbard Presents Writers of the Future v1, ed. Algis Budrys, Bridge, 1985
151 • Speech Sounds • Octavia E. Butler • ss IASFM mid-Dec ’83
167 • Snow • John Crowley • nv Omni Nov ’85
183 • Klein’s Machine • Andrew Weiner • ss IASFM Apr ’85
199 • Pots • C. J. Cherryh • nv Afterwar, ed. Janet Morris, Baen, 1985
229 • PRESS ENTER [] • John Varley • na IASFM May ’84
289 • Dinosaurs • Walter Jon Williams • nv IASFM Jun ’87
315 • Face Value • Karen Joy Fowler • ss F&SF Nov ’86
329 • Cabracan [Eddie] • Lewis Shiner • ss IASFM Oct ’86
347 • Rockabye Baby • S. C. Sykes • nv Analog mid-Dec ’85
375 • The Pure Product • John Kessel • nv IASFM Mar ’86
397 • Out of All Them Bright Stars • Nancy Kress • ss F&SF Mar ’85
409 • The Fringe [Carpenter] • Orson Scott Card • nv F&SF Oct ’85
Looks like the second one is the best bet, it's got PRESS ENTER first!
Unrelatedly (it's got a different Varley story), I think this is one of the priciest books I've seen on Amazon, especially since it's less than a decade old. Check out those prices!
Edited By TPRJones on 1184293593
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