If you write short stories that perhaps don't fit the women's magazine market, you might like to try submitting to CafeLit. Stories up to 3000 words are welcome, including flash fiction length, and a collection of the best stories is published each year. It's worth having a look around their website as they sometimes have other projects on the go.
I was delighted that my daughter, Vikki, had a short story published in the Irish literary online journal, The Bohemyth the other day. Her story, 'Pop Goes the Gun', is the second one down. This might be a good market if you're more concerned with getting your name out there in literary publications, rather than trying to earn an income from writing.