Hard to say this is "better" than Marvin Gaye's original, but it is sufficiently different with Leslie West sitting in on guitar and a restrained Moon still being ridiculous to fit in this thread. (Also, I think it's much better than The Band's cover even though that gets more pub due to The Last Waltz.)
I'm sure this has been posted in the 684 pages...but the Coffee Thread reminded me of it Yall may not like 'em, and I do not care, but they play a blazing rocking live version of this: