This online magazine deals strictly in flash fiction. They have a different editor each week and publish one story a week. But beware, they do screen submissions and repeatedly submitting the same story each week is not allowed.
While I was there I discovered a new genre of story writing, it's called Hint Fiction. Hint Fiction is a story told in 30 words. I found this idea intriguing and was totally stumped at how I would accomplish this task until I woke up at 2 a.m. with the story, which I've since submitted.
For anyone else interested in trying this they are running their Hint Fiction contest during the month of November. You can check it out here.