Tom Cruise has accepted many impossible missions over the years. He?s dangled from planes and tall buildings, had sharp knives dropped within a whisker of his eyeball. And now he?s performed a lip sync battle with Jimmy Fallon on The Tonight Show. The Hollywood superstar teamed up with the talk show host for a lip sync-off to songs such as The Rolling Stones? "Undercover of the Night," The Weeknd's "Can't Feel My Face," Meat Loaf?s ?Paradise by the Dashboard Light? and the climax: The Righteous Brothers' "You've Lost That Loving Feeling."