Apparently inspired largely by Akira Toriyama's popular Dr. Slump, Robby the Rascal is the story of Robby (Robotchi), a fun-loving, mischievous robot with a TV set in his stomach. Robby lives in a peaceful village with various other robots, all created by the eccentric and lecherous Dr. Art Deco, who has a major crush on local policewoman Sgt. Sally (Sachiko). Although he is an android and (usually inadvertently) causes much mischief, Robby has a warm, kind heart and is always willing to help out a friend in need. With his human girlfriend Tiffany (Kurumi Yukino), he gets into a variety of wacky adventures.

However, a rich, spoiled inventor named Horace (Highbrow) will stop at nothing to get Robby for his own. Much of the plot of the English feature-length dub of the anime involves Horace's attempts to threaten the peace in Robby's village, with the help of his female assistants, Tracy and Yvette.