Publishing J.D. Salinger is a minefield. Attempting to publish him without permission is a bit like running into No Man's Land while yodelling and waving a big bunch of petunias. Nevertheless, we can't resist recommending "Hapworth 16, 1924". According to Wikipedia, it was "the last original work J. D. Salinger published in his lifetime. It appeared in the June 19, 1965 edition of The New Yorker, infamously taking up almost the entire magazine. It is the "youngest" of Salinger's Glass family stories, in the sense that the narrated events happen chronologically before those in the rest of the series." It has also never been put between the covers of a book. It's available online, in The New Yorker, but you will have to subscribe if you want to read it. We had access to the whole story, but we felt it best not to risk it. This site did, however. Far be it from us to tell you that you should have a look.