While this can't quite measure up to the same level as Randball Stu's creative anthem list, it'd still be a blast to pick songs that fit each player musically, lyrically or both (Or neither I suppose. Be random if you wish, chaps!).
You can pick multiple songs for any players, even ones that have already been highlighted in other comments. And yes, you can still comment after Stu cleans house with his insane array of obscure yet fitting choices.
My picks after the jump:
Ron Mahay: “Ol' 55” by Tom Waits/Eagles
Jon Rauch: “Big Bad John” by Jimmy Dean/Charlie Daniels Band
Randy Flores: “Glory Days” by Bruce Springsteen
Nick Punto: “The Underdog” by Spoon
Carl Pavano: “You Can Leave Your Hat On” by Joe Cocker
Jason Repko: “Jump” by Van Halen
Matt Guerrier: “I'm So Tired” by The Beatles
Oh, and one more:
Joe Mauer: “Let the Bodies Hit the Floor” by Drowning Pool. Naturally.