Under The Covers: Other Artists Covering Beatles Songs:’ With A Little Help From My Friends’- Joe Cocker. The song which John Lennon and Paul McCartney wrote for Ringo to sing on Sgt. Pepper- a great Beatles song but- no knock on The Beatles of course but Joe Cocker’s cover- is it the best cover ever of a Beatles song? Joe sure knocks it out of the park. Hard to believe but as a single by Cocker it peaked at #68 in the Billboard Hot 100. If it’s not the best cover of a Beatles song it is on a very very short list.