The Penguin plots to manipulate Batman into inadvertently devising capers for him.

Bruce Wayne escapes the Penguin's deathtrap and returns to the Batcave. What he doesn't know is that one of the Penguin's clues, an umbrella, has a listening device.

Ma Parker and her delinquent children are pulling off a crime wave in Gotham City. Batman and Robin round up the gang one by one, but when the arrests seem all too easy, the Dynamic Duo suspect something else more sinister may be up.

Now in charge of the Gotham State Pen, Ma Parker and her jailhouse full of criminal cohorts use it as their base of operations. No one suspects jailed prisoners of the crimes, but a clue picked up by Batman and Robin may lead them right to Ma's whereabouts.

Penguin has opened a fancy restaurant called The Penguin's Nest. There every order has to be written down by the customers on a piece of paper. He then plans to get himself arrested and hand over the handwritten notes to a forger doing time by the name of Ballpoint Baxter. Suspecting a scheme, Batman urges the police not to send The Penguin back to his permanent cell. Unable to reach Ballpoint, The Penguin and his culinary cohorts escape from jail, taking Chief O'Hara along as a hostage.

Catwoman is released from prison, and claiming she wants to enrich her education, enrolls at Gotham City University. She dresses one of her own henchmen as the Caped Crusader in order to frame him for a robbery. With Batman in jail, she goes ahead with her plan for a mass sit-in at Chimes Square. Catwoman is more than surprised when Batman himself shows up at the event. However, his efforts to expose the villainess are futile, and she prepares to terminate him and Robin in front of the whole crowd.

Catwoman goes ahead with her scheme to steal several Batagonian Cat's Eye opals, but she has trouble finding someone to fence them since such rare stones would be easily spotted. With little recourse left, she decides to turn them in for the reward money. It seems like the perfect job for her acquaintance, Freddy the Fence. But when he notices that the gems are fakes, Catwoman realizes she has been tricked by Batman and vows to get revenge on the Caped Crusader once and for all.

The Joker, just released from prison, teams up with Catwoman. They follow the clues of an ancient riddle to retrieve a nightshirt and an antique crib, which together form a map to a hidden cache of gunpowder which they plan to use for their next crime. Batman and Robin, together with Batgirl, follow their trail, little knowing that they are about to walk right into an ambush.

Dr. Cassandra and her husband Cabala are behind a string of invisible robberies, thanks to their camouflage pills. When Batman, Robin, and Batgirl attempt to stop their next theft, the crooks turn them into 2-dimensional figures with their ray gun. Dr. Cassandra then begins work on her final plan - releasing all the super criminals from prison to join her invisible force.