The residents of a small town are excited when a flaming meteor lands in the hills, until they discover it is the first of many transport devices from Mars bringing an army of invaders invincible to any man-made weapon, even the atomic bomb.

Advertising executive Alan Miller, a recovered alcoholic who now does interventions on behalf of Alcoholics Anonymous, is called to help Broadway actress Jenny Carey whose developing career is threatened by an increasing dependence on alcohol. Alan's growing interest in Jenny strains his marriage to Edna, with whom he has two children.

Father O'Malley is sent to St. Mary's, a run-down parochial school on the verge of condemnation. He and Sister Benedict work together in an attempt to save the school, though their differing methods often lead to good-natured disagreements.

An elderly business tycoon, believed to be dying, decides to give a million dollars each to eight strangers chosen at random from the phone directory.