The Puzzler continues with his plan to hijack Artemus Knab's new airplane, the Retsoor, all the while leaving puzzles behind for Batman and Robin to ponder. He familiarizes himself with the jet's designs, then prepares to fly his prize to a foreign country where he will hold it for ransom. But the Dynamic Duo have an easier time with his clues than he expected, resulting in a climactic confrontation at the airplane hanger.

Nora Clavicle, a women's rights activist, uses her influence to have Commissioner Gordon, Chief O'Hara, and the whole police force fired and replaced with women. She cuts ties with Batman and Robin, then launches her plan to blow up Gotham City with explosive-packed mice and collect on the insurance. The Terrific Trio look for a way to neutralize her mechanical hordes before it's too late.

The Puzzler, a villain with a fondness for both Shakespeare and aviation, indicates he is after the fortunes of Artemus Knab. He convinces the billionaire to invest in his puzzle balloon business, but when the Dynamic Duo find that Knab seems too intelligent to fall for a phony scheme, they look deeper for the criminal's true intentions. Their search leads them to Knab's airplane monopoly, but unknown to them, the Puzzler has plans to halt their investigation - permanently.

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.

With his special truck finished, Shame goes to work on his final caper - the theft of four prize cattle worth over one million dollars. Batman and Robin deduce his plan, but realize they are too late to stop him and too slow to catch him. With little left to go on, the Dynamic Duo employ their "bat-logic" to try to figure out his next move.

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.

Mr. Freeze is in town, and has begun a new cold wave of terror. He launches "Operation Hate Batman," framing the Caped Crusader as taking a bribe and dressing his own henchmen as Batman and Robin. As the negative press mounts, Mr. Freeze works on his plan to turn the Dynamic Duo into human Frosty Freezies.

Told that her loot is genuine money after all, Zelda is forced to lure Batman and Robin into a possibly unsolvable deathtrap, with hitmen waiting outside to shoot them if they escape.

Louie the Lilac is in town, planning to corner the lilac perfume market in Gotham City. His concoction requires the glands of several animals, so he kidnaps Bruce Wayne and Dick Grayson to make the extractions. With "Batman and Robin" unable to respond, Batgirl attempts a rescue, only to be captured herself. The trio rely on their wits (and the latest bat-invention) to attempt an escape.

After a robbery aided by a rigged timepiece, Batman and Robin deduce the Clock King must be in Gotham City. Disguised as a pop art expert, the villain brings his latest masterpiece to the Parkhurst Gallery. But everyone is surprised when the sculpture turns out to be more than just a piece of art, and the Clock King makes off with a valuable time-related painting. Batman and Robin follow a clue to the villain's hideout, unaware that a trap awaits them.

Aunt Harriet purchases a clock as a birthday present for Bruce Wayne, unaware that it is a plant by the Clock King. But when the villain learns that a control switch meant for his final caper has been errantly placed on the timepiece, he breaks into Wayne Manor to retrieve it, nabbing some valuable watches in the meantime. Batman and Robin shortly deduce his master plan and race to stop him.

Chandell, the musical virtuoso, visits Gotham City for a piano concert. But unknown to the public, Chandell is being blackmailed into a life of crime by his twin brother Harry, who retains most of the profits. Chandell intends to buy off Harry forever, and he knows just where to get the funds - from the Wayne family fortune. With Batman and Robin out of town, he suspects the robbery will be a piece of cake. However, Batman has been listening to Chandell's concert remotely, and after detecting an anomalous chord, summons Robin back to Wayne Manor to investigate.

Batman and Robin escape Chandell's trap. Once back in the Batcave, they deduce his plan to get the Wayne family fortune by killing Bruce Wayne and Dick Grayson, then marrying the rightful heir, Aunt Harriet. In order to trap the villain, Bruce and Dick fake their own deaths. However, Harry has also figured out his brother Chandell's scheme, and desiring the Wayne fortune for himself, concocts a plan to masquerade as his twin brother.

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 Dynamic Duo arrange a trap for an elusive annual bank robber, but the female magician they are hunting is on to them with a new scheme of her own.

False Face traps Batman and Robin, and binding them to a subway track just minutes before a train is scheduled to come by.

Alfred contacts Batman by radio from the Batcave. Batman instructs the butler to short circuit a communications device the hero has on his wrist. This enable Batman to get free of his bonds. He and Robin get free just before they would be run over by a subway train. The Dynamic Duo resume their pursuit of False Face, which ends up at an old movie studio.

The Joker launches a new crime wave with robberies that appear to make no sense, such as stealing hairpins from rich women and a hole from a golf course. But the Joker knows exactly what he's doing. Batman and Robin are in pursuit and eventually invade the villain's headquarters. The heroes are placed in a chamber and are told if they can float for an hour, they'll go free. The Joker then begins to flood the chamber with poison gas. The Joker says the Dynamic Duo may not be able to swim in the gas "but you can drown in it!"

After an ingenious escape, Batman and Robin again pick up the trail of the Joker. The villain's ultimate crime is designed not only to make him rich but to ruin Batman's reputation.

The Penguin teams up with parasol collector Lola Lasagne. Together, they plan to rig the upcoming Bruce Wayne Handicap to make a fortune from Lola's prize racehorse Parasol. They break into Glu Gluten's Glue Factory to steal a condemned horse, planning to switch horses before the race and make their money by betting on the real Parasol. When Batman, Robin, and Batgirl catch up with them at the glue factory, Penguin sneaks outside and plasters the Batmobile with a sticky glue.

At Woodrow Roosevelt High School, a vending machine gives out money. Dick Grayson is there to witness it. Batman learns the vending machines are operated by a company bought by the Joker after being released from prison. The Joker and his gang are aided by Susie, a cheerleader at the school. In the course of their investigation, Batman and Robin are captured and placed in electric chairs. If a "one armed bandit" comes up the wrong way, they'll be electrocuted.

A power failure prevents Batman and Robin from being electrocuted. Meanwhile, a recording Batman made confirms that cheerleader Susie is one of the Joker's confederates. Robin, in his Dick Grayson identity, attempts to infiltrate the gang. Meanwhile, the Joker's main plot is finally revealed. Members of the high school basketball team receive answers to final exams from the rigged vending machines. The Joker appears, claiming to be a concerned citizen. The team's starters will be suspended as the Joker bets big money on the team's next opponent. Batman, however, has other ideas.

Minerva has been using her "Deepest Secret Extractor," disguised as a piece of equipment at her mineral spa, to discover where her wealthiest customers hide their valuables. With this info in hand, Minerva has been able to pull off a string of robberies with ease. When Batman and Robin's investigation is cut short by the villainess, butler Alfred goes undercover to help foil her criminal operations.

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

Vince, a temperamental physician at a Gotham City hospital (apparently a takeoff on Ben Casey), saves Batman and Robin. The Dynamic Duo resume their pursuit of Mr. Freeze. Eventually, Batman substitutes himself for Paul Diamonte, a baseball player, Mr. Freeze has kidnapped. Robin, disobeying Batman's orders to stay away, is also captured by the villain. Now, in his headquarters, Mr. Freeze is using his climate controls so that only Batman or Robin will have access to life-giving warmth.