So for example, we'll do The White Room, Cortez the Killer and Bittersweet (Big Head Todd) instead of Mustang Sally, Brown Eyed Girl and Jumping Jack Flash. So far the idea has been well-received.
We also do stuff for our own pleasure entirely, like Trains by Porcupine Tree or Mississippi Moon by King's X.
Or Hell Hole, by Spinal Tap. Enjoy: