Several files and a couple of citations.

Here are three works by J.S.F. The first appeared in Review of Contemporary Fiction, Spring 2000, Vol. 20 Issue 1, p8. The second appeared in the same journal on page 91. The third appeared in The Paris Review Fall 2000, Vol. 42 Issue 156, p383:
Proximity of Brad to Bradford
Imagining Giovanni’s Gift
About the Typefaces Not Used in This Edition
This one I post with a bit of trepidation. I’m not altogether certain of the authenticity of this story. I have never heard of this site. Ah well, go see for yourself:
Cravings

He also has worked that appeared in (when I find web links for any of them I’ll post them):

The Sixth Borough By: Foer, Jonathan Safran. New York Times, 9/17/2004, Vol. 153 Issue 52975, pA27, 999p
The Very Rigid Search By: Foer, Jonathan Safran. New Yorker, 06/18/2001-06/25/2001, Vol. 77 Issue 16, p116, 13p, 1c, 8bw;

And here is an article from The Jewish Week about Foer:
The New Thing