The broadcast is also scheduled to feature a performance by Lloyd Webber and an interview with stage and screen star Jane Fonda.
"Late Show" airs Monday through Friday at 11:35 PM ET on CBS; check local listings.
Upcoming guests follow:
Nov. 20: Actor Michael Caine; Larry Wilmore; musical performance by Boots; Vulfpeck sitting in with Jon Batiste and Stay Human
Nov. 23: Actor Sylvester Stallone; Ted Koppel; musical performance by My Morning Jacket
Nov. 24: Spike Lee; Carly Simon; musical performance by Justin Bieber
Nov. 25: Gloria Estefan; Navy SEAL Eric Greitens and former Marine Sergeant Jake Wood; chef Daniel Boulud
Nov. 26: Actor Jack Black; CEO of Go Pro Nick Woodman; performance by tap dancer Michelle Dorrance
Nov. 27: Actor Daniel Craig; author Elizabeth Gilbert; interview with and demonstration by Dr. Eugenia Cheng