RHCP's - Higher Ground. (Stevie Wonder)
Metallica - Whisky In The Jar (Thin Lizzy, who in turn had essentially covered it from Dubliners/Pogues)
Turn the Page (Bob Seger) is also fab, as someone mentioned.
DJ Sammy - Boys of Summer (Remix) (Don Henley)
The Clash - I Fought The Law (The Crickets)