Face/Off (1997)
Face/Off is a 1997 American action thriller film directed by John Woo and starring John Travolta and Nicolas Cage. Travolta is an FBI agent and Cage is a terrorist (respectively), sworn enemies who assume the physical appearance of one another. The film exemplifies Woo's signature gun fu and heroic bloodshed action sequences, and has Travolta and Cage each playing two personalities. It was the first Hollywood film in which Woo was given complete creative control and was acclaimed by both audiences and critics. Eventually grossing $245 million worldwide, Face/Off was a financial success.
More at Wikipedia.