The Great SF Stories #15 (1953) ed. Isaac Asimov & Martin H. Greenberg (DAW, December 1986, 0-88677-171-4, $3.50, 352pp, pb, an)
Anthology of 17 stories first published in 1953 plus a summary of the year in and out of sf plus remarks on the various writers.
The Great SF Stories #16 (1954) ed. Isaac Asimov & Martin H. Greenberg (DAW, May 1987, 0-88677-200-1, $3.50, 350pp, pb, an)
Anthology of 17 stories from 1954.
The Great SF Stories #17 (1955) ed. Isaac Asimov & Martin H. Greenberg (DAW, January 1988, 0-88677-256-7, $3.95, 349pp, pb, an)
Anthology of 14 sf stories.
The Great SF Stories #18 (1956) ed. Isaac Asimov & Martin H. Greenberg (DAW, August 1988, 0-88677-289-3, $4.50, 366pp, pb, an)
Anthology of 15 sf stories from 1956.
The Great SF Stories #19 (1957) ed. Isaac Asimov & Martin H. Greenberg (DAW, February 1989, 0-88677-326-1, $4.50, 350pp, pb, an)
Anthology of 15 stories from 1957 plus commentary. This long-running anthology series is an excellent way to look at the sf field year by year.
The Great SF Stories #20 (1958) ed. Isaac Asimov & Martin H. Greenberg (DAW, February 1990, 0-88677-405-5, $4.95, 351pp, pb, an, cover by Robin Hidden)
Anthology of 12 stories from 1958 plus commentary. This series is one of the best surveys of the modern sf short story.
The Great SF Stories #21 (1959) ed. Isaac Asimov & Martin H. Greenberg (DAW, June 1990, 0-88677-428-4, $4.95, 347pp, pb, an, cover by Robin Hidden)
Anthology of 14 stories from 1959.
The Great SF Stories #22 (1960) ed. Isaac Asimov & Martin H. Greenberg (DAW, February 1991, 0-88677-465-9, $4.50, 351pp, pb, an, cover by Angus McKie)
Anthology of 11 stories from 1960 plus commentary.
The Great SF Stories #23 (1961) ed. Isaac Asimov & Martin H. Greenberg (DAW, July 1991, 0-88677-478-0, $5.50, 367pp, pb, an, cover by Angus McKie)
Anthology of 13 stories from 1961.
The Great SF Stories #24 (1962) ed. Isaac Asimov & Martin H. Greenberg (DAW, January 1992, 0-88677-495-0, $5.50, 348pp, pb, an, cover by Angus McKie)
Anthology of 13 stories from 1962, with an introduction by the editors.
The Great SF Stories 25 (1963) ed. Isaac Asimov & Martin H. Greenberg (DAW, July 1992, 0-88677-518-3, $5.50, 381pp, pb, an, cover by Bob Layzell)
Anthology of 13 stories from 1963, with an introduction by the editor. This is the final book in the series.