Satisfaction, as already mentioned, is a much dismantled one. Add Keiji Hainos covers band Aihiyo to that list. They take it apart, throw away the rubbish bits (most of it) and build it back up from the ground.
Also, Butthole Surfers did a pretty mangled cover of American Woman by The Guess Who. More mangled than their cover of Sweet Leaf I'd say. They also have a song called Mark Says Alright and there's a Grand Funk Railroad song of the same name but I have no idea if it's a cover or not.
Good topic by the way.
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