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Heard Siouxsie and the Banshees version of Dear Prudence on 6 Music on the way to work this morning. I'm a big admirer of the Beatles, but I think Siouxsie Sioux and her mob trumped the original with their haunting take on it.
Which prompted me to think about other covers that surpass the original. Arrived at work soon after so didn't get very far, but these were the four that immediately sprang to mind, at least in my opinion: -