In the Pines, by Nirvana -- original by Leadbelly
Hard to Handle, by Black Crows -- original by Otis Redding
Walk This Way, by Run DMC -- original by Aerosmith
Hazy Shade of Winter, by The Bangles -- original by Simon & Garfunkel
Mrs. Robinson, by The Lemonheads -- original by Simon and Garfunkel
Baker Street, by Foo Fighters -- original by Gerry Rafferty
Sweet Jane, by Cowboy Junkies -- original by Lou Reed & Velvet Underground
Land of Confusion, by Disturbed -- original by Genesis
Turn the Page, by Metallica -- original by Bob Seger
Bizarre Love Triangle, by Frente -- original by New Order
Blue Monday, by Orgy -- original by New Order
Wild Horses, by The Sundays -- original by the Rolling Stones
Hallelujah, by Jeff Buckley -- original by Leonard Cohen
Rusty Cage, by Johnny Cash -- original by Soundgarden
Easy, by Faith No More -- original by The Commodores
You Know You're Right, by Hole -- original by Nirvana
Smooth Criminal, by Alien Ant Farm -- original by Michael Jackson
Girl, You'll Be a Woman Soon, by Urge Overkill -- original by Neil Diamond
Bring the Noise, by Anthrax -- original by Public Enemy
Ring of Fire, by Social Distortion -- original by Johnny Cash
Rocket Man, by William Shatner
-- original by Elton John
Crash Course in Brain Surgery, by Metallica -- original by The Bungles
These are the only ones coming to me at the moment. I'll post more if I can think of 'em.