Well some how Beatles version has become the definitive one, just like Elvis version of Perkin's Blue Suede Shoes.
Little Richard original is still Rhythm & Blues, Boogie Woogie, Elvis is basically the coolest Rockabilly ever, still so Sun sounding, love it! Pat Boone is crap (sorry), and The Beatles, they finally did the Rock and Roll version of it.
I have to be honest and say that I love The Beatles version the most. (I'm ready, kick me on the knees), and I don't care much about Little Richard original in this case (Ok shoot me in the head). But certanly Elvis 50's Studio version is fantastic and way underrated. You don't hear it much right? Elvis vocals are tremendous, same for the band, this is one of the songs he sang live from '56 until the mid 70's so he might have liked it a lot. Yet somehow, you have to surrender to Paul vocals and George solo, those are The Bealtes to me, even Elvis stated that that was their period he liked the most, back in the days when they did straight raw rock and roll.