Depends on what you consider "out of your league." Women don't place as much importance on looks as us guys do. It's more about personality and "status" to them. Don't let them try to convince you otherwise. And if you have any doubt about personality and want to see the "status" thing in action, just visit any country outside your own that is less wealthy than yours and watch the girls' reaction to you. This is the ugly truth to us guys.
At least it's not as bad as the ugly truth for girls: :)