Surf's Up! Joker's Under! - S3-E10
Visible crew/equipment: After Batman wins the competition, when Hot Dog is finally released from the trash can Joker rushes over to claim it was just a little joke, and the microphone pops up into view at the bottom of the screen. (00:21:10)
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)
Smack in the Middle (2) - S1-E2
Revealing mistake: While Riddler is with the unconscious guests at the Moldavian exhibit, in the basement of the Moldavian Pavilion the Mole Hill gang blow up the ceiling to create an entry to the exhibit, on the floor above. They lean two tall ladders at the side of the hole and climb up. When Riddler makes for an escape Batman follows him down below, and now we can see long metal brackets bolting the ladders to the floor for safety. (00:20:20 - 00:22:00)
I'll Be a Mummy's Uncle - S3-E23
Visible crew/equipment: When King Tut runs back up the shaft and encounters Batgirl, Commissioner Gordon, and Chief O'Hara, he is reveling giddily in the truth he has discovered. Then, when Batman and Robin show up, their chalk T-marks are visible on the ground. (00:21:10)
The Zodiac Crimes (1) - S2-E37
Visible crew/equipment: After Joker has stolen the map from Commissioner Gordon's office, he rushes to the window and calls for Venus, then just as Joker places his foot onto the lowest ladder rung, we can see a crew member's hand holding the same rung near Joker's foot, at the bottom of the screen. (00:02:05)
The Thirteenth Hat (1) - S1-E13
Continuity mistake: When Batman parks the Batmobile in front of Octave Marbot's studio, Batman tells Robin to activate the vehicle's anti-theft device. Robin is wearing green leather gloves, but in the closeup Robin's green glove is made out of a material (looks like cotton) very different than Robin's gloves. (00:18:15)
While Gotham City Burns (2) - S1-E30
Visible crew/equipment: When Batman and Robin use the Batmobile's high energy radar to probe the giant cookbook, and also when they use the Bat-magnet, the reflection of the moving boom mic/pole is visible on the bubble windshield. (00:11:40)
Visible crew/equipment: Outside Madame Soleil's, when Riddler notices the Batmobile he rushes up to it with Tallow following behind, and the chalk T-mark is visible on the ground at Tallow's feet. As this shot continues, when Tallow warns Riddler about the Batmobile's burglar alarms, the reflection of the boom pole/mic is visible on the glass. (00:19:10)
The Penguin Declines (3) - S2-E39
Visible crew/equipment: When Venus is at the Batcave, loads of fisticuffs ensue between the Caped Crusaders, Joker, Penguin and all the baddies. While Robin is up on the atomic pile scaffolding he punches one goon off the ladder, then as he falls we can see the edge of the brown crash mat rise up, right before the word "SPLATT!" appears onscreen. (00:20:50)
Scat, Darn Catwoman (2) - S2-E41
Visible crew/equipment: While Batman and Catwoman are at the Batcave the alarm goes off, so Batman activates the Diversionary Batphone Lines gadget, then it cuts to Pat Pending counting his cash, and when Commissioner Gordon and Chief O'Hara storm in, two chalk T-marks are visible on the floor near the bed. (00:12:30)
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)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: When the Dynamic Duo follow the lizard trail and go down into the manhole they end up in Hilda's cave, and when they approach Penguin's goon standing by a door, there are two chalk T-marks on the floor near that door. (00:08:50)
The Penguin Declines (3) - S2-E39
Visible crew/equipment: When Batman and Robin bring Venus to the Batcave, just as she says, "It's fabulous," the reflection of the moving boom pole/mic is visible on one of the Bat-computer screens, at the bottom right corner of the screen. As this shot continues, when Robin points out their Bat-radar, a chalk T-mark is visible on the floor near Batman's foot. Then, when Penguin, Joker, and the goons appear, more chalk T-marks are visible on their side of the floor. (00:17:10)
The Riddler's False Notion (2) - S1-E32
Visible crew/equipment: When Commissioner Gordon apologizes to Batman, the Caped Crusader tells Gordon to be careful from whom he accepts free lemonade, and during this conversation the reflection of the boom pole/mic is visible on the Batmobile's windshield. (00:03:40)
Better Luck Next Time (2) - S1-E20
Visible crew/equipment: While Batman uses his metal claw to hang from the wall, he reverses his communicator's polarity and increases the audio modulation. It then cuts to the tiger, and at the start of this shot we can see the animal trainer's red gloved hand, at the bottom left corner of the screen. (00:04:40)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: When Batman starts the Bat-Turn, the parachutes are shown deploying on a 6-lane major roadway (3 lanes in each direction) in a very open area, but after completing the 180-degree turn, the car is shown driving away from the crumpled chutes on a much narrower side street among tall buildings. (00:14:10)
Trivia: The 1966 T.V. Batmobile was created from a decade-old "concept show car" designed and built in 1955 by Ford's Lincoln Division. It was called the Lincoln Futura, and was originally a pearlescent pale green. After several years on the car show rounds (and an appearance in one movie, repainted red), it was sold for $1 to George Barris who stored it outdoors for 6 years. When FOX called looking for Barris to build a car for the show, they gave him 3 weeks, so he grabbed this already-weird looking car he had out back, sketched a few changes and passed the physical work to Bill Cushenberry. It was finished on time and the rest is history.
The Duo Is Slumming (2) - S2-E32
Trivia: At Commissioner Gordon's office, when Batman is checking the package Puzzler had sent, he's using the Bat-stethoscope to listen intently for ticking. Note how the headphone earpieces of the Bat-stethoscope are placed on the pointy bat ears material at the top of Batman's cowl, and not lower where the man's actual ears are located under the cowl. (00:09:40)
The Joker's Hard Times (2) - S2-E38
Continuity mistake: At GCPD HQ, when Commissioner Gordon decides to call Batman he removes the Batphone's acrylic dome cover and lifts the red receiver, still holding it when Joker shows up. Then, when Joker announces his next target is Libra the scales, in the next shot from a different angle, the Batphone is now untouched under the acrylic dome, between shots. (00:02:55)
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: Outside the run down factory, when the GC police officers step out of their patrol car and walk over to the Batmobile, just as senior Officer Dietrich begins giving the rookie officer the what for, the reflection of the boom mic is visible on the Batmobile's left bubble windshield, at the left side of the screen. (00:10:50)
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