With this question you are going to get men say women are more shallow because they don't want to talk badly about their gender and women say men are more shallow because they don't want to talk badly about their gender. Then you will get those that say the truth which is men and women can be equally shallow.
I think both genders can be equally shallow. Men seem to care a lot about physical appearance. Girls seem to care a lot about stability/financials. Of course, there is no rule for either gender. Some men and women are more shallow than others.
With things like this, it's too generalizing to compare sexes because both have so much shallowness. Just don't be TOO hard on people: evolution taught men to value women for their bodies, and taught women to value men for their ability to protect and provide. You just have to remember that so that you can remember to value them for other things, too.