Rosario + Vampire comes to mind, but if you don't want something to stab you in the eyes repeatedly, go for the manga. Guy that doesn't think he can get into any good schools finds out his parents signed him up for this academy no one's heard of, but hey, he got accepted so that's cool. The bus driver guy picks him up, drops him off, the landscape itself is ridiculously creepy and he's having second thoughts before even getting to the school when a beautiful girl on her bike crashes into him. She apologizes and leaves, and he thinks that if she goes to this school, he can definitely manage it. Things are still weird for a while, but it'll be okay. Oh, wait, it's actually a school for monsters that prepares them to be able to integrate into human society, which is why everyone is weird but looks human. It's too late for him to back out now, though.
Tropes include (somewhat deconstructed) Supporting Harem and (for a good while) Useless Protagonist.
Also I can't remember if you and I have already talked about this, Vector, or if you've said you've already looked into it. Sorry if I'm just repeating myself. Also, bonus points if you read or have read this: I can hook you up with some great fanfiction.
Soul Eater has some weird and crazy stuff going on from time to time, but I don't think it fits.
Ao no Exorcist except there's not much of it out there.
Maou Maoyuu Yuusha - Kono Watashi no Mono Tonare, Yuusha yo Kotowaru!, which is basically ECONOMICS! Also, you don't really get to see the monsters until later, and most of them are humanoid.
Bakemonogatari? Kind of?
Kore wa Zombie desu ka? for monsters + hilarity.
That's basically everything I've seen that has legit monsters. Trinity Blood has vampires and Crusniks... oh, maybe Blood+?