Well, being a huge fan of the Box Tops original version of The Letter, in that case I agree the original is better yet Cocker's version is almost a completely different song, a complete rewrite.
With a Little Help - I think Cocker's version is better, and different.
Let It Be - inferior and not too different.
You've Got To Hide Your Love Away - in the mould of 'With A Little Help' - therefore different but not exactly breaking new ground.
Bathroom Window - different, but nowhere as cool as Paul's version on Abbey Road.
I'll Cry Instead - not too different but I think better than John's vocal.
On reflection, maybe I stand corrected - maybe they aren't quite up with the originals after all, but he does give them a pretty good shake up in most cases! Can anyone think of other Beatle covers Joe Cocker has done? Here's his cover of 'Beware of Darkness' -
- not different to the original, but George's vocal phrasing suits it better I think.