I'd love to find someone with completely different obscure interests so we could spend time getting into each other's worlds. For example I'm not a dancer (except I kind of got roped into it by playing cymbals in Gamelan X, haha), but if someone were into some difficult kind of dance like the robot / popping and locking (I'm not sure of the terms but you know the kind with isolated movements that looks awesome), I would be totally into that and want to learn how to do it. If something fascinates you it's very unlikely that I won't be interested in it.
Most of all I want someone to be really intimate with. Obviously sexual intimacy, but also just weird things like for example singing with throats pressed together (you can make weird things happen with your voices if you do that). Think of sharing an umbrella, or a popsicle, without a second thought. Acting as relaxed as when you're alone. Perhaps I'm doing a bad job of describing it but that's a kind of intimacy I want.
(Sorry for all the sentence fragments there... unlike e.e. cummings I believe that someone who pays any attention to the syntax of things can wholly kiss you.)