Hands-down the best anthology of post-apocalypse stories I've ever read, INCLUDING zombie anthologies, which says a lot coming from me.
I usually don't enjoy short story collections very much because it seems like the stories end right when I'm really starting to like the characters and get into the setting. This book wasn't disappointing at all, though - there are 22 tales and only one of them was a flop (Mute, by Gene Wolfe). If you like abstract art, though, you may enjoy that story as well.
As a bonus, there is a recommended-reading list in the back of the book, so I have tons of new authors and post-apocalypse novels to look up. This anthology is an absolute treasure trove.