The Cure will be on the Friday Night with Jonathan Ross show. Jonathan posted this on Twitter: "Am off to studio. We also have jason manford, Will Young and The Cure on ! Cool Beans."
According to TV.com, The Cure recorded their performance tonight, and it will air on Feb. 20th.
(Thanks Ed and Mark)
Update: The Cure played The Only One. The show will air on Feb. 20th on BBC One and BBC HD.