Jimmy Fallon and Billy Joel do The Rolling Stones. WIN (video) Vancouver, BC, Canada / Rock 101 - Greatest Hits 70s 80s & 90s January 07, 2016 07:13 pm Jimmy Fallon has Billy Joel on the show and together they do The Stones classic, “Beast of Burden”. Oddly enough, Jimmy Fallon does a wicked Mick Jagger. WICKED. Take a look…..