I don't know if anyone's done a cover but The Dead Kennedys did a cover of Viva Las Vegas. Let me see...the Elvis version was 1963 and the Dead Kennedys version is 1980.
That's about the same time lapse between the Monkees' version of Stepping Stone in 1966 and the Sex Pistols cover in 1979.
It illustrates that this whole Beatles phenomena was manufactured many years later. If the Beatles were the huge cultural icon that people today will have you believe, why did the Sex Pistols cover a Monkees song? It's all Jewish marketing and profiteering long after the band stopped performing.
Just type "beatles" and "jews" into Ask Jeeves or whatever and you'll get millions of fascinating pages. The first ten results I see are Jewish websites talking about how Jewish the band was. Not that the Beatles as human beings were Jews but the whole thing was manufactured by Jews. Jews profited off of them and have done so ever since.
This is where you get the idea today that the Beatles were this huge group and the Monkees, for example, were kind of a joke. Jews weren't and aren't profiting off of the Monkees.