The Joker's Provokers (2) - S2-E22
Revealing mistake: When Alfred talks to his twin Egbert, as they face each other, you can plainly see the line dividing the screen so that Alan Napier can play both parts.
Marsha, Queen of Diamonds (1) - S2-E23
Continuity mistake: After Batman has been hit by Marsha's love dart, when Robin pulls the dart out and then begs Batman to resist it, in these semi closeups note Burt Ward's uncovered forearm with his still-healing burn wound. Then, while the Dynamic Duo fight Marsha's sabre wielding goons, Marsha hits Robin with another one of her darts and orders him to attack Batman. When this happens, Burt Ward's forearm now has a compression bandage around the wound. (00:13:55)
Marsha's Scheme of Diamonds (2) - S2-E24
Continuity mistake: In part 1, Marsha's prisoners included the mayor. Here, Batman rescues Robin, Gordon and O'Hara - but the mayor has disappeared. And oddly, no one mentions his ever having been there. (00:05:05)
Marsha's Scheme of Diamonds (2) - S2-E24
Visible crew/equipment: At GCPD, when Marsha and her Grand Mogul enter Commissioner Gordon's office bringing with them a cage with two toads, there are two white tape marks visible on the rug beside the desk. (00:19:35)
Revealing mistake: After Shame and his baddies steal Bruce's limo. Bruce shows Dick and Alfred that he had the remote control unit keep the Bat-cycle (with Alf-cycle) following them at a safe distance. In the shots facing the Bat-cycle, attached to the front wheel there's a rope pulling it. (00:17:05)
Continuity mistake: After Annie drops the chandelier on them, Batman and Robin are knocked unconscious. No one's had time to move either of them, but when Andy comes into the saloon in the next shot, Robin has somehow shifted positions on the floor: he's not in the same spot or position he originally fell in. (00:21:30)
Continuity mistake: When Okie Annie shoots the chandelier over Batman and Robin, they both are dazed by it. But Shame only whacks Batman over the head with the chair before he falls unconscious. Robin is still waving his hands reacting to the chandelier fall and finally falls unconscious when Batman goes to the ground.
Other mistake: At the end of the episode when the cattle are stampeding, the sign over the Saloon is backwards.
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: After Batman and Robin have "set another youth on the road to a brighter tomorrow," they walk away from Andy, then when they stand beside the Batmobile, the vertical reflection of the moving boom pole/mic is visible right beside Robin's reflection, on the left side of the windshield. (00:03:50)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: The Batmobile has just pulled away, and as Andy waves good-bye, the camera shadow can be seen moving rapidly offscreen at the lower lefthand corner of the frame. (00:04:25)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: When Batman and Robin visit Laughing Leo's Used Car Lot, the side of the Batmobile reflects a whole row of big square studio lighting panels. (00:06:30)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: At the Batcave, when Batman and Robin use the Batroscope it leads them to the Adobe Hacienda Motel and Eats, which serves the best chili and avocado dip in GC. When it cuts to them entering the building, at the start of this shot the shadow of the moving boom mic is visible in the bottom right corner of the screen. (00:09:30)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: After Batman gets out of the Batmobile, you can see the lighting rigs, boom mic, camera and crew reflected on the Batmobile's side.
The Penguin's Nest (1) - S2-E27
Revealing mistake: When Bruce, Dick and Aunt Harriet get into what's supposed to be an elevator, there's solid concrete under the sliding doors where there should be a break separating the lift car from the building's floor. It's visible again in Part 2, when Batman and Robin use the same elevator. (00:04:30)
The Bird's Last Jest (2) - S2-E28
Visible crew/equipment: Batman tilts the Bat Shield just a little too much when he and Robin are under fire from Penguin's goons, and it captures a pretty clear reflection of the camera rigging. (00:04:00)
The Bird's Last Jest (2) - S2-E28
Visible crew/equipment: At the abandoned Navy rec center, when Penguin and his miscreants are out of bullets they surrender, and as they all gather with their hands up, there are a few chalk T-marks visible on the ground where they stand. (00:05:25)
The Bird's Last Jest (2) - S2-E28
Continuity mistake: When the Dynamic Duo goes up the Bat Pole chute, the NEGATE COSTUME CHANGE lever is down. When they come down as Dick and Bruce, the lever is up, and Robin pulls it down to stop the instant change back to Dick and Bruce.
Continuity mistake: During the fight, the desk mat and desk calendar are moved initially and then moved again later in the fight. (00:19:03 - 00:22:00)
The Bat's Kow Tow (2) - S2-E30
Factual error: Batman ingeniously deduces that the sympathetic vibration needed to escape Catwoman's sound-trap is the note F-sharp above high-C. What he proceeds to hum, however, is a D, and Robin hums an E. Neither of them reaches F-sharp, but the sound chamber dutifully explodes and frees them anyway. (00:02:30)
Answer: There wasn't one singular city used. It was shot in and around various locations in California, plus on a lot of sets and backlots. Ex. Some scenes were shot in LA, some in Pasadena, some in Santa Barbara, etc.
TedStixon