The Angels become bodyguards for Sammy Davis, Jr. after an attempt is made to abduct the superstar from a restaurant. But when Sammy's obnoxious look-alike, Herbert Brubaker III, comes to visit, the kidnappers abduct Brubaker by mistake.

Ex-jewel thief Freddie the Fox enlists the Angels to help him steal the famous Light of Arabia diamond so that he can return it to a museum and retire from crime forever.

In hopes of contacting her beloved nephew Martin who died four years ago, Claire Ross sponsors Dr. Douglas Holden and his psychic research. Bosley, Claire's friend, brings in the Angels as fake psychics to check on possible fraud.

Ex-mobster Jake Garfield has just been released from prison for the murder of his wife. He claims that he was framed by a racketeer named Renaldi, so his nephew hires the Angels to investigate.