I love the laughing through the singing thing though.
A 1991 cover by the classically rock and roll Black Crowes:
No really, could they be more rock 'n' roll?
Fellow old-man, talk singer Tom Petty does a rendition in 1992
That guitarist almost looks familiar. Should I know who that is?
Apparently a version by the Beatles. It's quite short:
Good ending though.
For some lady-action, here's Ana Cañas spare 2007 version:
And for pure obscurity, "Pietre" by Antoine. It's not a straight cover, but it was influenced by "Rainy Day Women." Probably. Google translation is tricky. 1967 in Italy:
Nice 'stache though.