I received an email this morning from a reader looking for places to read short crime fiction. I suggested a few likely candidates, then thought that other people might like to see the list as well.
Short fiction isn't really my area of expertise, but here are some of the publications I've either read, or had recommended to me:
Demolition Magazine (this year's Gumshoe Award winner)
Thrilling Detective Website
There are other fine publications, I'm sure. (I'm just not remembering them at the moment.) But those are all good places to start.