Mission: Impossible (1966)

Jim Phelps is the head of a super-secret government agency ("Impossible Missions"), and is often given secret anonymous covert missions to attempt; quite often they are unmasking of criminals or the rescuing of hostages. He picks his team depending on which tasks need to be done. One thing is vital on an Impossible Mission: the mission must be carried out in entire secrecy, often relying on high-tech equipment and elaborate deceptions.