Under The Covers: Other Artists Covering Beatles Songs: ‘I’m Happy Just To Dance With You’- Anne Murray. Another Lennon-McCartney song from the A Hard Day’s Night soundtrack- Anne Murray who had previously had success with her covers for “You Won’t See Me’ and ‘ Day Tripper’- in 1980 released as a single an adult-contemporary version of ‘I’m Happy Just To Dance With You’- it peaked at #64 in the Billboard Hot 100, #23 in the Country Singles chart and #13 on the adult contemporary singles chart. This is really a slowed up version-compared to The Beatles original.