Do you know of any markets for short stories?
Magazines are the largest markets for short stories. Check the current Novel & Short Story Writer's Market. You can usually find these at your local library. Some libraries will let you check them out, others won't—so bring pen & paper, or change for the copy machine.
Not only does this resource book list places to sell your short stories, it also contains writing tips and hints for polishing your work and how to submit.
As for anthologies, try googling "short story anthology submissions" to find sites that are looking for stories to publish. You can also google "short story contests." Many of these contests are seeking submissions for an anthology or will publish the winners. While contests will often have a submission fee, a legit publisher simply calling for anthology submissions will not require an entry fee, an edit fee, or that you purchase published copies of the book. Some of these anthologies pay cash, others pay in copies.
A few annual contests and anthologies that are particularly interested in LDS writers are:
- Cedar Fort Holiday Story Contest (Deadline December 2, 2011)
- Segullah's Annual Fiction Contest (Deadline December 31)
- AML's Irreantum Contests (Deadline August 31)
- and there's always my annual Christmas story contest (the best of which eventually end up in an anthology)
There are also some national contests, like:
- Writer's Digest various contests
- Lorian Hemmingway Short Story Competition
- The Hugo Awards (sci-fi)
- A list of English/British Short story Competitions
- and another list by month
Readers, if you know of a call for short story submissions that is open right now, please put the link in the comments.