The Bat's Kow Tow (2) - S2-E30
Visible crew/equipment: While Allan Stevens interviews Batman and Robin they have surprise visitors, and as Catwoman and her Kittens take their places pointing the weapons at the audience, the black tape mark is visible on the floor at Catwoman's feet. (00:06:45)
The Bat's Kow Tow (2) - S2-E30
Continuity mistake: When Catwoman tries to tempt Batman into a kiss at the end, his cape is draped completely over the right half of his chest. Each time the angle reverses, though, it's pulled back over his shoulder in its usual position. (00:21:15)
The Puzzles Are Coming (1) - S2-E31
Revealing mistake: While The Puzzler and his baddies are at Artemus Knab's penthouse, across the street from Commissioner Gordon's office, when Puzzler decides he will launch the plane himself, the wire attached to the top of the plane is visible. (00:01:15)
The Puzzles Are Coming (1) - S2-E31
Continuity mistake: In the Batcave, Batman is holding Puzzler's pink balloon while he and Robin deduce its clues. The shot cuts to a wider angle when they turn to race to the Batmobile, and the balloon disappears. (00:12:50)
The Puzzles Are Coming (1) - S2-E31
Visible crew/equipment: At the Knab Aircraft hangar Puzzler arrives in the truck just as Knab is leaving, and when Puzzler walks to the back of the truck the reflection of the boom mic is visible on the right back door windows. (00:14:45)
The Puzzles Are Coming (1) - S2-E31
Revealing mistake: At the old balloon factory, when Puzzler throws the model airplane with a poison tip at Batman, on his upper arm we can see the protruding outline of the rectangular base to which the small airplane is attached. (00:22:00)
The Duo Is Slumming (2) - S2-E32
Visible crew/equipment: When Puzzler and his high-flying flunkies exit the shed it cuts to the Retsoor in Knab's hangar, and a few chalk T-marks become visible on the ground near the nose of the plane. (00:19:40)
The Duo Is Slumming (2) - S2-E32
Other mistake: While Batman and Robin are ascending in the balloon, Robin picks up a chewed piece of gum, and stops the altimeter just before 20,000 feet. After that, Robin wondered how to get down. Beside Batman's head is the handle of the cord that would have started to let the air out, and started dropping them down.
The Sandman Cometh (1) - S2-E33
Continuity mistake: As the batfight ends and one of Sandman's henchmen hits Batman with a bolt of cloth, he goes down and is buried with mattresses on the right side. But when they remove the mattresses to wake him up, he is facing forward.
The Sandman Cometh (1) - S2-E33
Continuity mistake: When Dick and Bruce go "to the bat poles" Dick is on the left side and Bruce on the right. When they get to the bottom, they have switched poles. Dick is on the right and Bruce is on the left.
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: When Alfred and Batman take off from the Batcave on the Alf-cycle (a nod to Batman's quick head-dip), it cuts to the exterior scene at the Run Down Factory. When the GCPD patrol car pulls up, in their closeup the movement of a crew member's reflection is visible on the triangle vent mirror, at the bottom left side of the screen. (00:10:30)
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)
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: While Batman stands outside the run down factory, the GC rookie officer asks, "Who's Robin?" and both GC officers get back into their patrol car. Then as they drive away the reflection of equipment (looks like the boom pole) becomes visible on the vehicle's rear passenger window. Then it cuts to Batman, and the reflection of the boom pole is visible on the Batmobile's windshield, at the bottom right corner of the screen. (00:12:25)
The Contaminated Cowl (1) - S2-E35
Visible crew/equipment: When Mad Hatter has Batman's pink cowl he enjoys his short sweet victory. In the next shot the Dynamic Duo walk in, and at the end of this shot the actor's chalk mark is visible on the floor at Mad Hatter's feet. Then as the goons nab Robin and Batman, more chalk T-marks are visible on the floor. (00:22:45)
The Contaminated Cowl (1) - S2-E35
Continuity mistake: After the Mad Hatter's spray turns Batman's cowl pink, Batman and Robin are shown in the Batmobile, headed back to the Batcave. The stock shot shows Batman wearing his regular blue cowl while inside the car. Once they get to the Batcave, Batman's cowl is pink again.
The Zodiac Crimes (1) - S2-E37
Revealing mistake: When Joker enters Commissioner Gordon's office at GCPD, he's pointing a wand at Gordon and Chief O'Hara. In the shot facing Joker when he lets go of the wand, the wires at both ends of the wand are visible. (00:01:15)
The Zodiac Crimes (1) - S2-E37
Continuity mistake: Joker's floating zap-wand is hanging in the air right in front of Chief O'Hara's face. But when the shot cuts, it's instantly ten feet away, and is now floating behind the Joker. (00:01:45)
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 Zodiac Crimes (1) - S2-E37
Visible crew/equipment: Bruce Wayne and Dick Grayson walk into the study alone when Bruce takes the Batphone call from Commissioner Gordon, then just as Bruce says, "The Joker again," at the top of the tuba bell we can see the reflection of a man wearing a white short-sleeved shirt and grey pants. Numerous studio lights are reflected as well. (00:03:15)
The Zodiac Crimes (1) - S2-E37
Continuity mistake: In Commissioner Gordon's office, after Batman uses his handy mini fire extinguisher to extinguish Joker's flaming 2-way spy device, when he walks over to Gordon's desk the mini fire extinguisher is in his left hand, but when it cuts to the closeup as he realises the significance of RAM, the fire extinguisher is suddenly in his raised right hand. (00:06:50)
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