Digging through the John Barry back catalogue I ran across his take (well the John Barry 7's take) of Watch Your Step...originally a Bobby Parker single that Lennon openly admitted was lifted and rejigged by The Fabs for I Feel Fine (more on that here). The Beatles shuffle 'n' bump arrangement is literally just a shade away from John Barry's Brit-Beat twist on the tune.
His first take appeared on The John Barry Sound EP, released just a year after the Beat Girl soundtrack, an album constructed from similar trebly Anglo-twangs and speedy hipster rhythms
Fast forward to 62, where The John Barry Orchestra re-oomphed Watch Your Step for Beat Girl star Adam Faith, an updated take flip-siding his Lonesome single. The opening note - an extended sax honk - is almost a pre-feedback version of The Beatles legendary intro.
Exhibits A (Adam) B (Barry) C (Cheeky Beatles) are below. Take 6 of I Feel Fine, the instrumental version, is the one to lend a quizzical ear to...
John Barry 7 - Watch Your Step
The Beatles - I Feel Fine (Take 6 and 7)