The Joker's Hard Times (2) - S2-E38
Continuity mistake: After Joker enters Commissioner Gordon's office, Gordon and Chief O'Hara walk over to the window, and the Batphone table is behind them, beside Gordon's desk. Then Joker makes two "quick-frozen cops" and runs off to snatch Justice, leaving Gordon and O'Hara immobile. When their shock paralysis wears off, Gordon and O'Hara rush over to Gordon's desk, but the Batphone table and the Batphone have vanished (note the rug's pattern). (00:03:00 - 00:04:55)
The Joker's Hard Times (2) - S2-E38
Continuity mistake: The Batmobile pulls up in front of the Platter-Porium, and you can see that only Batman and Robin are inside the car. When the shot cuts to close-up, though, Venus is sitting in between them. (Tight squeeze: it's a 2-seater and she must be straddling the transmission hump and hand brake - ouch.) The shot cuts back to full for them to jump from the car, and Venus has disappeared again. (00:13:40)
Suggested correction: We do see Venus in all three shots. When the Batmobile pulls up in front of Platter-Porium, in the first wide shot we see blonde hair between Batman and Robin. Then after the closeup, in the second wide shot (same angle as the first) when Batman and Robin have exited the car, we see Venus turn and poke her head out of the Batmobile, on Robin's side of the car. Also, in the closeup when Batman opens the door, we see Venus is sharing the passenger seat with Robin, directly beside the transmission hump and hand brake, so no ouch for her. Venus does the same thing in the next episode, when she's brought to the Batcave.
The Joker's Hard Times (2) - S2-E38
Continuity mistake: When the Joker directs Gordon and O'Hara to look at the statue of Justice, they look at it from a front view. But when Joker comes out of the Police building where he left them frozen, it's from behind the statue, rather than in front.
The Penguin Declines (3) - S2-E39
Continuity mistake: When Joker's goons return from Operation Laundry Bag and finally release Penguin from the bag, Penguin's hat is secured on his head with an elastic strap, but this strap vanishes in the next shot. (00:04:30)
That Darn Catwoman (1) - S2-E40
Continuity mistake: After the drugged Robin clobbers Batman with a wooden chair, the broken pieces change their arrangement on the floor between one shot and the next. (00:20:50)
Penguin Is a Girl's Best Friend (1) - S2-E42
Continuity mistake: After Batman and Robin fight off the fake thieves, when Penguin threatens the Dynamic Duo with jail time for aggravated assault and malicious property damage, in his closeup Penguin holds the megaphone in his left hand and his cigarette is in his right hand, but in the next wide shot those items have switched hands. (00:02:45)
Penguin Sets a Trend (2) - S2-E43
Continuity mistake: Penguin's van races by a Gotham City movie theater, passing three cars parked in front of it. In the very next shot, the Batmobile zips past the same spot in hot pursuit - and there are now four cars parked there. (00:20:20)
Batman's Anniversary (1) - S2-E45
Continuity mistake: Sitting at the banquet table, Batman has placed his left hand over his chest. When the shot cuts, his hands are instantly both down at his sides. (00:05:00)
A Riddling Controversy (2) - S2-E46
Continuity mistake: When Riddler and his baddies are at their factory hideout watching the news of their criminal coup on TV, in shots facing the TV the two rabbit ear antenna are fully retracted, but in shots from behind the TV the antenna are extended by approximately a foot. Later, there's a similar occurrence with the TV antenna, while Batman and Robin use the Batrope to climb the wall. (00:03:20)
A Riddling Controversy (2) - S2-E46
Continuity mistake: At the end, Riddler's moll Anna Gram's earrings disappear, just as Batman and Robin arrive before the fight.
A Riddling Controversy (2) - S2-E46
Continuity mistake: In the park at the statue base, Batman uses a knife to open the telegram. As he reads, the knife is pointed up, and a moment later, it's down.
Catwoman Goes to College (1) - S2-E49
Continuity mistake: When they first go to the bat poles, Bruce is on the right. The next shot at the bottom, Bruce/Batman is on the left and Dick/Robin is on the left. They switched sides. It has happened throughout the series.
Batman Displays His Knowledge (2) - S2-E50
Continuity mistake: When Batman and Robin are trying to escape from the giant coffee cup at the beginning of this episode, spots of moisture keep appearing and disappearing on Batman's costume.
Batman's Satisfaction (2) - S2-E52
Continuity mistake: Britt Reid visits Bruce Wayne, and while sitting on the couch, stretches forward and places both hands on his knees. But in the next take, he's abruptly leaning back with his arms folded. (00:09:30)
Batman's Satisfaction (2) - S2-E52
Continuity mistake: After Britt Reid tells Bruce he wouldn't be caught dead in Batman's crazy cowl, when it cuts to the Batcave both Robin and Batman use the Bat-computer to decipher the message in the alphabet noodle soup. The Yellow Pages phone book is on the computer's shelf beside Robin, and in his closeups the phone book's spine faces toward the right, but in the wide shots the phone book faces the opposite way. (00:10:30)
Batman's Satisfaction (2) - S2-E52
Continuity mistake: While the Batcomputer starts acting wonky just as Batman and Robin need it to figure out Pinky's location, when Alfred joins Batman and Robin in the Batcave, the Yellow Pages phone book vanishes from the Batcomputer's shelf in the closeup. (00:12:20)
Pop Goes the Joker (1) - S2-E57
Continuity mistake: After Oliver Muzzy congratulates Joker for his magnificent artwork and makes a deal with him, before Joker leaves the gallery he runs his finger across Batman's yellow emblem to sign his red artwork, but at GCPD HQ when they're discussing the matter, Joker's signature is completely different, it's now a capital "J" on Batman's yellow emblem. (00:06:45)
Ring Around the Riddler - S3-E2
Continuity mistake: When Batgirl finds Betsy with the huge magnet under the boxing ring Batgirl throws the rope around the lever, then as the rope pulls the lever down the rope slips off and falls, but in the next shot the rope is still up around the lever. (00:21:25)
Continuity mistake: Batgirl's outfit includes boots with kitten heels, but during the fight scenes the stuntwoman's boots have block heels. (00:19:45 - 00:21:25)
The Unkindest Tut of All - S3-E6
Continuity mistake: When the Batmobile pulls up to the theater where Tut's henchmen are emerging, Batman challenges them while standing at the open driver's side door. You can see his left hand closing the door, as well as hear it click shut - but in the next, reverse angle shot, as he and Robin leap into the fray, the car door is standing wide open again. (00:08:00)