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.

An industrialist and a pianist meet on a trip and fall in love. Through a quirk of fate, they are reported dead in a crash though they weren’t on the plane. This gives them the opportunity to live together free from their previous lives. Unfortunately, this artificial arrangement leads to greater and greater stress. Eventually the situation collapses when they come to pursue their original, individual interests without choosing a common path.

A UFO appears above the Antarctic sea and a strange signal disrupts Earth's communications. Captain Alex Hamilton and his crew search for the origin of the signal outside the Solar System. They arrive on a planet to find the population enslaved.