These are all games for your 360, correct?
My choices would be:
1. Dead Rising -- cannot get enough of that game
2. Hitman Blood Money -- awesome game especially after you've expressed interest in stealth-oriented games like Splinter Cell.
3. Mirror's Edge -- I don't know much about this game and I've always been interested, but it seems a worthy buy.
4. Prince of Persia -- supposedly a very good quality game.
For your free games, just use your best discretion.... I would steer clear of Golden Axe though, it's God-awful (and that sucks because I loved the Sega Genesis games)!
GETTIN' CHRONOCRUNK