What they want:

…send your best stories to Bradbury Quarterly. Stories you think Ray Bradbury himself would love to read. Stories you think he may have wanted to write. Stories he may have collected as a boy growing up in Waukegan, in Tucson, in Los Angeles. Stories he would cherish, talk about, be inspired by.

Length: Up to 7,500 words
Payment: No payment
Submission Guidelines:  http://raybradbury.wordpress.com/submissions/