Video and lyrics here (http://viddigger.blogspot.com/2007/05/police-every-breath-you-take.html). A bit before your time, but it was the Police's biggest hit and has been so widely covered, sampled, and used in soundtracks that I'd be very surprised if you hadn't heard it at some point.

Sting himself is on record that it's not as sweet as it may seem to someone who's not paying attention to all the words: in interviews he's called it "obsessive, paranoid" and "very, very sinister".