Depends on their age. Young, stupid, and immature girls go after looks. That was severely evident when I was in high school; all the football jocks had nearly every girl in the school dreaming about them. Sad thing is, those football jocks didn't give a sh*t about them, while "average" guys like me with deep respect for women were passed off.
However, with age, comes maturity, and WOMEN go after personality. I have noticed that I am like an item with older women; ironically, because 20 something year-olds have never given me the time of day (despite that I hear a lot of them talking about how they wished they had a knight in shining armor or a guy like Edward from Twilight).
My girlfriend now is amazing, I love her so deeply. She is in her mid 20s, and unlike the rest, she is very mature, and loves my personality. Her co-workers, sisters, neighbors, (all in their 30s+ ) have crushes on me, and are jealous of her because of the way I treat her.
This is not to say that guys aren't guilty of the same things either; I just happened to have matured very early and realized that the "pretty girls" were always stuck-up b*tches and thus, I find a girls' personality WAY more attractive than her looks.