Nutrition and personal care go a long way as well. I'm (self-assessed) of around average appearance and my wife is, according to most sighted people, better looking than I am. Our kids are better looking than either of us (at least so far), in part from genetics, but substantially from having a healthy diet, healthy lifestyle, excellent medical, skin, and dental care, etc. (And we're just upper-middle class vs middle-middle class where we were raised.)

Even if genetics are a crapshoot, I'd expect offspring of rich and powerful families to be, on average, more attractive than the median for their area from these environmental factors.