Close to Me
Kevin mentioned the Lady Sovereign appropriation of Close to Me called So Human, which used the tune, and throws out most of the words (some are still there)!
Kevin absolutely hates it as it offends his "Gothic Sensibilities". However there are stranger versions, like The Dismemberment Plan, acoustic ukulele (what is it with Cure songs and ukuleles?), and Inflow. Then again, the above isn't really a cover version is it? It's my like a recycled media thing, so I'm adding a new tag).
Know of any other examples of recycled media?