Smack in the Middle (2) - S1-E2
Continuity mistake: When Fake Robin takes Riddler's wheel to drive, the shot cuts to the Batmobile. It appears that Robin is a passenger, but he is supposed to be Riddler's prison service.
Smack in the Middle (2) - S1-E2
Revealing mistake: After Batman tosses his Batarang up to get to Molly, the lifting wire attached to him is plainly visible.
Smack in the Middle (2) - S1-E2
Factual error: Nitrous oxide is not flammable. Not to mention, if it were, Riddler would have risked blowing everything up when he shot the gun in the room saturated with it just to give his henchmen the signal.
Fine Feathered Finks (1) - S1-E3
Revealing mistake: At the start, Penguin's henchmen give out booby trapped umbrellas to everyone outside the House of Ali Baba. When they all enter the jewelry store those umbrellas explode with fireworks, gas, confetti, etc, and the stunt wires holding up the umbrellas are visible, at the top of the screen. (00:01:20)
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
Visible crew/equipment: In Commissioner Gordon's office, when Gordon is looking over the paperwork of three new umbrella factories, frustrated that none are in the name of Penguin, as he stands up we see two white tape marks on the rug behind him. In the previous scene with Warden Crichton, four of the actors had been standing in that area. (00:11:35)
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: 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
Revealing mistake: In the close-ups of the basket filled with umbrellas at the bank, the asbestos blanket is continuously bumping up and shaken not by the 'explosions' of the booby trapped parasols, but rather by the thin wires you can make out at the top of the frame. (00:15:10)
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
Revealing mistake: The trademark vertical rope climb of this episode is done on the handle of a huge umbrella. The umbrella though is at an angle in the various wide shots, and Batman is climbing a perfectly vertical handle. (00:18:30)
Fine Feathered Finks (1) - S1-E3
Revealing mistake: After the huge rooftop umbrella is launched onto the street there's a small umbrella hanging from its handle, and when Batman uses his Batarang to swing towards the huge umbrella's shaft, his stunt wires are visible. (00:18:45)
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
Revealing mistake: When Penguin pulls the lever, Adam West assumes the position to receive the net dropped on his head a couple of seconds early and as if Bruce/Batman knew beforehand that something was coming from the ceiling, in that spot, passively accepting it. (00:22:10)
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)
Fine Feathered Finks (1) - S1-E3
Factual error: The show is obviously full of cartoonish hyperboles; particularly amusing the notion that the "tempering furnace" in the back of Penguin's shop reaches 10'000° (I assume Fahrenheit), which would make it hotter than the surface of the Sun and able to melt any known metal on Earth. Bit of an overkill to temper umbrella ribs. (00:24:10)
Fine Feathered Finks (1) - S1-E3
Other mistake: If the camera in the Penguin's cell is hidden and stationary, then the video taken from the cell should all be from the same angle, but not only does much of it move along with the Penguin as he paces, it also is much closer and at a lower angle. It only reverts back to being hidden when he notices it.
The Penguin's a Jinx (2) - S1-E4
Other mistake: Penguin is able to follow from his office the unconscious Bruce Wayne on the conveyor belt. Considering the angle and how it keeps perfect close-ups of the moving target, it would mean he has a security camera in the back of his shop that is pointed on the conveyor belt and is mounted on a dolly (and he is not doing anything to control it). Definitely wins him Evil Overlord points. (00:02:40)
The Penguin's a Jinx (2) - S1-E4
Revealing mistake: While listening to Batman and Robin plan, the camera is close enough to the Penguin to see the prosthetic nose is differently colored. (00:07:00)
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