I love short stories. My favorite is "For Esmé with Love and Squalor" by J. D. Salinger. Originally published in The New Yorker on April 8, 1950, it’s the kind of tale that lives on in your heart long after you’ve read it.
That was a golden time for short stories. I’ve been writing short stories for thirty years and have to admit the markets aren’t as lucrative as they used to be. But they are out there. A good link for researching where to submit is http://www.duotrope.com/
I write inspirational, literary, mystery and romance stories and have been excited to see some new markets. Last year I had stories in some brand new mystery magazines: Mouth Full of Bullets and The Great Mystery and Suspense Magazine. What a great experience! A new market for romance stories is The Wild Rose Press and both Sarita and I have published with them. Last year Whiskey Creek Press put out an anthology called Hope that was just chock full of inspirational stories. And new literary magazines are constantly appearing.
So if you write short stories, be persistent, study magazines, and submit. You just may be the next J.D.