Grande Short Stories
The Short Story Library - American Literature
This site offers readers hundreds of full-text short stories.
http://www.americanliterature.com/sstitleindex.html
Short Stories at East of the Web
A respected site that offers a mix of modern and classic short stories. Search by author's name or browse by theme.
http://www.eastoftheweb.com/short-stories/indexframe.html
Classic Short Stories (by author)
Full-text short stories from many well-known authors.
http://www.classicshorts.com/author.html
Short Stories @ Classic Reader
Select "Short Stories" and use the "Author index" to sort by author's last name.