The Beatles' version of this song is the best. The Pink Fairies' version doesn't add anything or explore any contemporaneous issues. A full decade after The Beatles recorded I Saw Her Standing There, the cover version hasn't interpreted the song in any intersting or important new way.
I am really intrigued by @Henry Irving 's comment about version one on the original post not being The Beatles. It doesnt't seem to be take one from the 11 February 1963 Please Please Me; it's certainly not take two (which was an outtake); and it's also not take nine, from which the "One, Two, Three, FOUR..." introduction is taken.
But it also sounds like The Beatles! I am absoutely sure it's Ringo playing drums.
McCartney recorded it "solo" in 1987, so it could be that version. Although, why would he bother to record an almost-identical version? Maybe it's Macca singing it on top of an original recording from the '63 session..?
https://www.youtube.com/watch?v=2xbig-xfCIQ
https://www.youtube.com/watch?v=jqDSWL6mR-8 
Comments
Fits their sound much better.
Beatles sounds both rawer and sharper although the link seems to be to Macca solo version
The Beatles take it.
I am really intrigued by @Henry Irving 's comment about version one on the original post not being The Beatles. It doesnt't seem to be take one from the 11 February 1963 Please Please Me; it's certainly not take two (which was an outtake); and it's also not take nine, from which the "One, Two, Three, FOUR..." introduction is taken.
But it also sounds like The Beatles! I am absoutely sure it's Ringo playing drums.
McCartney recorded it "solo" in 1987, so it could be that version. Although, why would he bother to record an almost-identical version? Maybe it's Macca singing it on top of an original recording from the '63 session..?