Widower Dr. Matt Younger and his daughter go to London for a month of dirt-bike racing. While there, Dr. Younger is surprised by finding himself attracted to Catherine, a charming but elusive woman who seems to have some mysterious men following her. A romance slowly develops between the doctor and Catherine, but there are complications to their happiness.

When billionaire Jean-Marc Clement learns that he is to be satirized in an off-Broadway revue, he passes himself off as an actor playing him in order to get closer to the beautiful star of the show, Amanda Dell.

The series follows the mystery-solving adventures of the Teen Angels—Brenda, Dee Dee and Taffy—and their friend Captain Caveman (or Cavey for short), a prehistoric caveman and superhero whom the girls discovered and thawed from a block of ice. The concept and general plot for the show was seen as a parody of "Charlie's Angels".