LDS Publisher is holding a Book of Mormon short contest at her blog! I have just submitted a story for it, and she has already posted stories for people to read and vote on.
You can read all the entries that have already been posted so far here. My personal favorites so far are "The Bright Sword Covenant" and "Out of the East".
The contest ends this Friday, February 19th, so if you want to participate by sending in your own story, you can find the guidelines here.