Another good choice is "Battleship Chains" originally by The Woods and later superbly covered by both The Georgia Satellites and Hindu Love Gods. Similarly, the Satellites do a killer version of "Hippy Shake" and the Hindu Love Gods cover "Wang Dang Doodle" to great effect.
Marty
A related curiosity. "Money Changes Everything", a song by an obscure alt. rock band called The Brains became a hit when covered by Cyndi Lauper. Now it seams that everyone (punk to country) does a version - varying in quality as much as you'd guess. One or more might qualify here, depending on your taste. iTunes has something like 25 versions for sale.