Other mistake: The photo of Riddler's arrest shown in the news has the same angle as what we saw, which is the polar opposite side of the corridor Riddler's hired photographers came from. (00:10:10 - 00:12:10)
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
Other mistake: Penguin says that his sleeping gas' effect lasts 18 hours, but Bruce in his shop woke after mere minutes (sure, the extreme temperature helped him regain consciousness, but something as potent to knock you out for 18 hours with a small whiff can't completely lose effectiveness just because your feet are getting a little hot). (00:20:15)
The Penguin's a Jinx (2) - S1-E4
Other mistake: In the pre-credits recap of part 1 of the episode we see Bruce awake and staring in horror (with actually a super hilarious face) at the furnace. It was not part of the previous episode at all and in fact Bruce wakes up only in this second episode.
Other mistake: The Joker's escape is so cartoonish and ridiculous you wouldn't even know where to start; besides the fact that the explosion somehow engulfs instantly the whole baseball field, the guard on top of the wall is following his movement with the gun, so he sees the Joker, therefore the smoke screen is useless, not more effective in any way than the mere surprise of a coil suddenly springing up from the ground.
Other mistake: When Mr. Freeze is moving through the room evaluating the diamonds, the tanks on his back can be fire extinguishers. There is no way that the "weapon" attached by hose to them will work, as the handles have to be squeezed to discharge.
Other mistake: During the final fight scene between the SOCK and POW, Mr. Freeze can be seen in the 76-degree heated section.
Batman Stands Pat (2) - S1-E14
Other mistake: When Batman drop-kicks Mad Hatter into the vat of acid at the end of the fight, he does not have even one burn mark when he was pulled out.
He Meets His Match, the Grisly Ghoul (2) - S1-E16
Other mistake: During the opening scene, right after Cesar Romero's guest star, Joker and Susie's faces freeze for a moment.
True or False-Face (1) - S1-E17
Other mistake: When False Face lifts the wig off Blaze to reveal the crown that is on top of her head, you can see it is not there until the next shot of her.
Other mistake: While Batman and Robin are pursuing False Face, they stop the Batmobile beside a fence (across from "Bioscope"), and a sign that states "No Trespassing, Desilu Studios" (the show's studio location) is mounted on that fence. (00:15:00)
Other mistake: Riddler says that his "universal wax solvent" can eat through anything. Which begs the question, just what is that vat he cooks the stuff up in made of? We see the wax burn through solid steel vault doors. So it also ought to be eating through the vat, the floor and the bedrock, and sizzling its way down to the Earth's core. (00:07:00)
Other mistake: After King Tut's men deliver the statue, it's referred to as a Sphinx. Even Batman says, "Rather good imitation of the 4th Dynasty's Sphinx at Giza." Problem is, the Great Sphinx of Giza is a reclining lion with a human head. The statue in Gotham's park is a ram's head atop a seated human body, resembling Egyptian God Khnum, and looks nothing like the Egyptian Sphinx. Bruce Wayne is a member of Gotham City Museum's Board of Trustees, which recently opened the new exhibit of Egyptian antiquities. (00:10:35)
The Bookworm Turns (1) - S1-E29
Other mistake: When Gordon falls into the water after being shot, the footage is in black and white, vs in color.
While Gotham City Burns (2) - S1-E30
Other mistake: When Batman realises what needs to be done, the camera turns to Robin with a sixty second clock on screen. Supposedly, Batman did all his actions within sixty seconds to save Robin. Robin was saved after two minutes and three seconds.
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