Loyalty and Support come first, and then compatibility.
Let's see... I want a man that's inbetween. Not submissive, because I somehow find that creepy. Not dominant, because I don't believe the clashing thunder that occurs when I get involved with a dominant male is a good basis for a friendship. That is to say, I wind up competing with dominant males and that causes problems. I don't want a man that will demand teh_smexor (INB4 Good luck with that), and I want a man that's into video games like myself, very preferably the kinds I'm into.
Now since I'm a freaking weirdo my preferences are somewhat different for women (...Because I am bi. Little known fact.) First thing's first, I do not subconsciously seek out women. That is to say, I will probably not be the first to show interest. That means I'd want one that showed interest consistently. Because of this my gender dating ratio is like, 10:1 male:female. I am somewhat less competitive around dominant women. I blame Ramirez... Gotta throw it straight out there, probably not into whatever replaces teh_smexor in this case. The rest applies about the same.