The American Film Institute defines "mystery" as "a genre that revolves around the solution of a crime." I'd never thought of mystery as specific to crime, but now that I really think about it, I can't think of anything that I would consider mystery that doesn't have crime in it. A couple of Sherlock Holmes stories, I guess, but that's about it. Sherlock Holmes never appears on the list, though - they're not really good movies, to be honest. There is, hoverer, no less than four Hitchcock movies, some film noir, and a hard boiled detective movie (In fact, the hard-boiled detective movie.)
I'm actually very excited about the mysteries - I haven't seen any of them, and I haven't even heard of half of them (The half that aren't Hitchcock movies). This means that I don't know the endings of any of them, so hopefully I'll be surprised by all of them. After all, the best part of a mystery is the ending.