The Black Widow adjusts her cerebrum short-circuiting device to successfully alter Batman's brain. With Batman powerless to resist, and Robin captured, she disguises herself as the Boy Wonder and brings along a dummy Batman to rob another bank. Commissioner Gordon initially believes Batman is setting a trap for the villainess. But when word comes of the successful robbery, the commissioner puts out an all-points bulletin to bring in the Caped Crusaders dead or alive.

The Black Widow uses her cerebrum short-circuiting device to rob bank after bank in Gotham City. Batman and Robin soon catch up with her, but actually capturing the villainess proves harder than expected. Despite her nerve paralyzer spray, and two remote-control dummies that try to throw the Dynamic Duo off course, they finally make it inside the Black Widow's lair. But soon after entering, they are trapped in a giant web with two deadly black widow spiders.

Though Batman escapes his watery trap, Robin is left in the hands of King Tut. The deluded villain still believes that Lisa Carson is really Queen Cleopatra, and calls Lisa's father to demand a ransom of $8,300,487.12, the mortgage on the Pyramids. Using the Jolly Jackson radio show to communicate, Tut negotiates the terms of payment with Batman. However, the villain most likely intends to keep both the money and Lisa, and has further plans to fry the Caped Crusaders in his royal boiling oil.

After a blow to the head, Yale's Egyptology professor once again believes he is King Tut. He mistakes Bruce Wayne's friend Lisa for Queen Cleopatra, and kidnaps her so he can bring her to Egypt as his bride. Batman and Robin soon locate Tut's hideout, thanks to a hidden tracking device. But soon after entering, they are captured by Tut's cronies, and Batman is submerged in a sarcophagus under five feet of water.

Colonel Gumm moves out of the Pink Chip Stamps Factory, taking its owner Pinky Pinkston along as a hostage. A message hidden by Miss Pinkston in a bowl of alphabet soup directs Batman and Robin to the International Stamp Exhibition. Though the Green Hornet and Kato will be attending to try to expose Colonel Gumm, Batman and Robin believe they are out for personal profit. The misunderstanding has the two sets of crime fighters fighting each other while the real criminal nearly makes off with the exhibition's rare and valuable stamps.

The Green Hornet and Kato come to Gotham City to stop a stamp counterfeiting scheme, but the Dynamic Duo, unaware of their true heroic motives, is out to stop them.

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.

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.

The Joker is now Vice Chairman of the Gotham National Bank, due to an unsuccessful plan of Batman's. He installs his robots as tellers, and despite his criminal past, seems to be running things in perfect order. The Dynamic Duo realize they will have to trick him into making a mistake in order to remove him. They go to work on a plan to gain control of his robots. But that plan is jeopardized when, due to an odd turn of events, Batman's true identity Bruce Wayne is declared mentally ill and hauled off in a straight-jacket.

Counterfeit money is being distributed by respectable citizens in Gotham City. Batman and Robin investigate, and find one of the Joker's lifelike robots substituting for a bank teller. They are certain who is behind the crime. But to get actual proof, Batman plans to visit the villain as Bruce Wayne and trick him into disclosing his operation. When his scheme suddenly backfires, it appears he will instead have to appoint the Joker as Vice Chairman of the Gotham National Bank.