Shaw was highly regarded as a short story author, contributing to Collier's, Esquire, The New Yorker, Playboy, The Saturday Evening Post, and other magazines; and 63 of his best stories were collected in Short Stories: Five Decades (Delacorte, 1978), reprinted in 2000 as a 784-page University of Chicago Press paperback. Among his noted short stories are: "Sailor Off The Bremen", "The Eighty-Yard Run", and "Tip On A Dead Jockey". Three of his stories ("The Girls in Their Summer Dresses", "The Monument", "The Man Who Married a French Wife") were dramatized for the PBS series Great Performances. Telecast on June 1, 1981. This production was released on DVD in 2002 by Kultur Video.