Fine Feathered Finks (1) - S1-E3
Continuity mistake: When Batman reverses direction of the Batmobile via a "Bat-Turn", the car is shown from above turning counter-clockwise, but the next interior view shows the car is spinning clockwise. (00:14:20)
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)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: The bat-phone rang, and Dick is practicing his French. Bruce in the wide shot has taken his pen off the sheet, but he is in a different position in the close-up that follows. Same when he mentions the "key to world peace"; his hand changes position. (00:03:25)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: The dynamic duo enters the umbrella factory and begins talking with the Penguin. Right away you can see the cigarette in the holder has its tip turned into ash, but in the close-up on Burgess Meredith's grin a greater part of the cigarette is consumed. (00:16:40)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: When Batman opens his drawer full of electronic (not to mention, literal) bugs, the various pseudo-creatures are arranged in different ways between the wider angles and the close-up. (00:20:50)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: The tiny spider microphone rests on the back of Robin's right hand, but the close-up shows a gloved left fist. (00:20:55)
Fine Feathered Finks (1) - S1-E3
Continuity mistake: Adam West's hands inside the net are in a different position when Penguin sprays him with the red gas. (00:22:20)
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