Someone who understands you. Not that weird, to be honest. Don't mean to demean, ... it's just, ... human. We like to be understood. It's the same reason I'd prefer to be with a woman who's got some sort of mental health problem(s); because I feel she'd "get" me more than some random woman off the street who thinks she's God's gift to man. Would I like to be with a woman who's 100% healthy? Sure, ... I guess, ... but I'd always wonder if she understood. I wouldn't say I'm attracted to mental health, but I am attracted to the prospect of a woman relating to me; understanding what I go through, even just a little bit.

EDIT: sorry, the God's gift bit wasn't very nice, ... I'm just not very confident about my prospects of meeting a "healthy" woman from "the street" who just happens to not have her head up her behind. Blame that view on making the mistake of checking out dating sites... t'was a big mistake. >.<