As I was reading through everyone's posts I was wondering if someone would mention A Confederacy of Dunces. It was the first book to come to mind. It was weird in a very disturbing way.
Same with She's Come Undone.
Actually, both books were weird in a BAD way. A Fool on The Hill was an odd book, too.
Others have mentioned Fear and Loathing; that was weird in a GOOD way. So was Alice in Wonderland.
The Master and Margarita (which I am reading now) is a bit weird, too, but it's a good read so far.

