At the "Writing and Publishing Short Stories" program, the presenter mentioned a website called The Grinder as a warehouse tracking various publications asking for stories.
You can search by genre (it has Fantasy separate from Scifi separate from Horror separate from Romance separate from Humor... wait, Humor? Hmmmmm) and by other elements such as fees, royalties, and type of blood sacrifice needed to get accepted. It doesn't limit searches by deadlines, so you'd have to look at each entry to see when things are due.
But here's a good motivator for a writer who wants to get published, and in different locales and different genres. I'll be looking.