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Don't know how authoritative this is, but according to
http://www.classicbands.com/mostplayed.html
it's the Righteous Brothers' "You've Lost that Lovin' Feeling." The Beatles have several in the top 100.
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Don't you find that list sketchy? Stairway To Heaven is not even on it.
I'd be willing to bet $100 that #1 is Stairway To Heaven. (But of course you don't take the bet unless you Google for the right answer first so I have the right to decline all takers.)