The type of good looking I like is they type that indicates physical health. Very often being physically & emotionally healthy are linked in some way too - being obese for instance - is that a physically or emotionally unhealthy thing? It's both, although it will probably make some obese people mad that I come out and say it. Still though, it's funny 'cause it's true.
I agree with Caroline, I'd be happy with emotionally stable + intelligent, the combination of the two grown on me, the more intelligent and amusing things I hear a person say, the more appealing their face becomes. Good looking can be a matter of perspective.
I'm with you Carolyn R. Looks, for me, are important insomuch as they are an indicator that the guy is generally taking care of himself. A little love handle is fine (since I've got plenty of my own). But beer gut that makes him look pregnant? Pillsbury doughboy who let himself go?
It's not a vain, I'm-looking-for-a-male-model kind of thing. It's a health thing. I'm no health junkie, but ... within reason. Please.