Not really a pick up line but I use this all the time.
Walk over to a girl and say "I figured if we going to keep staring at each other we might as well know one another's names...you know to alleviate the akwardness."
That's what Bill Clinton said to Hillary the day they met, I'm not lying, I saw it on a news interview. The great thing is that it works, Clinton was a smooth operator anyways.