Is there anything I can do about my information coming up on Google?

I was on a site called Minekey for a few months, several years ago. I was “Dutchess” on there too. One would assume that when you give your information, such as your real name, when you create an account, that that information will be protected. Well, obviously it is not because when I Googled myself there were some hits that came up for Minekey. It’s nothing horrific, nothing bad, but that just ain’t right.

Any suggestions on how to get rid of all of that trivial crap?