The Comma Press, in the UK, is very active in the field of short stories. It's a not-for-profit organisation, which is just as well, I suspect, because it's mighty hard to get anyone interested in buying short stories -- at least via the traditional routes. Digital may change everything. Anyway, nip over to the Comma Press web site and take a look.
It you're interested in writing short stories, as opposed to reading them, you could do worse than read my book How to Write a Short Story that Works. This is available in ebook form, from the usual Amazon retail sources (US readers go to dot com, and Brits go to dot co dot uk). It's also on Smashwords, and therefore on a variety of other outlets, including Apple. This book has so far attracted 27,000 readers, give or take a few, so there must be a lot of people interested in the short-story form. And why not?