Couldn't find a place about this subject so I just wanted to make a place where people could share their favorite short stories and/or collection of short stories.
One of my favs, a collection called They Came From Outer Space: 12 Classic Science Fiction Tales That Became Major Motion Pictures which has an introduction by Ray Bradbury. His intro titled The Turkey That Attacked New York describes how his short The Fog Horn was turned into the movie The Beast from 20,000 Fathoms, a film which he personally was not too happy with.
A few other short stories included are Who Goes There by John W. Campbell, Jr. which was turned into The Thing from Another World, remade into John Carpenter's The Thing and more recently the 2011 The Thing. Harry Bates' Farewell to the Master which was filmed originally in 1951 as The Day the Earth Stood Still, I actually prefer this short story to either film versions. The Alien Machine by Raymond F. Jones filmed as This Island Earth and A Boy And His Dog by Harlan Ellison are also featured. I highly recommend this collection if your a sci-fi fan.
I own a few more collections I'd like to share but I'll save them for a future post as my OPs can get long-winded. I'm interested in what short stories others can recommend so please share your favorites.