i was actually feeling kinda young this morning and this question zapped me right back into old age...LOL! deezee
Beatles did it on Sgt. Pepper. But personally i think Cocker's version is the classic one. That performance at Woodstock was so damn sexy!
Beatles obviously do good version of their own song, but Joe Cocker takes song to new dimension. There's nice gentle latin flavoured version by Sergio Mendes + Brazil '66. One of the great thing about many Beatles songs is that they can be adapted by artists of virtually any musical genre + still stand up.