Yes, occasionally. But most that are good enough to get air time, have been rearranged somewhat. Sometimes drastically. Couple of my favorites were The Beatles song, " Have a Little Help From My Friends" covered by Joe Cocker; Stevie Nix "Landslide" covered by the Dixie Chicks. And the latest that was really good is "Stairway to Heaven" covered by Mary J. Blige.
If you want to hear a really strange, but good one, go to Youtube and look up the BeeGees "Stayin' Alive" covered by Ozzy Osborne and Dweezil Zappa. It's a trip.