We've all got them. Some of them are larger than others. Some are very specific, and some are general. Mine are, thankfully, few: I can't stand the sound of nails being flicked together or chewed on. I'm betting that one's pretty common. I don't like people who correct the grammar of others in conversation (and occasionally have to stop myself from being a hypocrite). Other than that, I thought I was pretty much peeve-free.
I discovered a new one today: People who have publicized programs (radio/TV/Internet) yet think it's cute to say some variation of, "Don't tell anyone this, but..." I mean, we all know that they're talking to hundreds, if not thousands, of people at that moment. To pretend you're telling a secret becomes just another gimmick to get people to listen closer. Bleh! Annoying.