The Great Science Fiction Stories: Volume 4, 1942 ed. Isaac Asimov & Martin H. Greenberg (DAW, October 1980, 0-87997-570-9, $2.50, 448pp, pb, an)
also in The Golden Years of Science Fiction: Second Series.
The Great Science Fiction Stories: Volume 11, 1949 ed. Isaac Asimov & Martin H. Greenberg (DAW, March 1984, 0-87997-918-6, $3.50, 317pp, pb, an)
Anthology of 15 stories from 1949 with notes Asimov.
The Great SF Stories: 12 (1950) ed. Isaac Asimov & Martin H. Greenberg (DAW, September 1984, 0-87997-953-4, $3.50, 319pp, pb, an)
Anthology of 18 classic stories.
The Great SF Stories #13 (1951) ed. Isaac Asimov & Martin H. Greenberg (DAW, July 1985, 0-88677-058-0, $3.50, 337pp, pb, an)
Anthology of the best of 1951 plus an introduction about the year in the world and in sf.
The Great SF Stories #14 (1952) ed. Isaac Asimov & Martin H. Greenberg (DAW, January 1986, 0-88677-106-4, $3.50, 352pp, pb, an)
Anthology of stories from 1952.