Continuity mistake: When False Face escapes from the bank he has Blaze with him in the Town Panel truck, and she's handcuffed to the overhead pipe. Blaze is wearing a neutral color nail polish, but in the closeups of her cuffed hand her nail polish is salmon colored. (00:14:30)
Batman Stands Pat (2) - S1-E14
Visible crew/equipment: Batman and Robin have been captured so they're led to Mad Hatter's hat factory. When Lisa arrives, a chalk mark can be seen where she stands, and a white tape mark on the floor for Mad Hatter. (00:19:30)
When the Rat's Away the Mice Will Play (2) - S1-E12
Visible crew/equipment: While Bruce Wayne is in Commissioner Gordon's office, when the Batman imposter shows up, numerous white tape marks are visible on the rug, where the actors will step as the scene progresses. (00:14:20)
When the Rat's Away the Mice Will Play (2) - S1-E12
Visible crew/equipment: After the Batman imposter has met Bruce Wayne in Commissioner Gordon's office, when it cuts to the imposter returning to Riddler's hideout, the chalk T-mark and another mark are visible on the floor near Mousey's feet. (00:16:25)
When the Rat's Away the Mice Will Play (2) - S1-E12
Revealing mistake: When Riddler and his Rats have been caught near the end, during the ensuing fight Batman throws one of the Rats, and as he goes flying across the room we can see the stunt wires. (00:21:55)
A Riddle a Day Keeps the Riddler Away (1) - S1-E11
Visible crew/equipment: While King Boris is being held as a pawn by Riddler, when Batman and Robin show up the duo jump over a crate, and the chalk T-mark is visible on the floor by Robin's feet. (00:21:05)
A Riddle a Day Keeps the Riddler Away (1) - S1-E11
Visible crew/equipment: After the opening credits, during the scene in Commissioner Gordon's office Gordon tells Chief O'Hara to assign an extra squad, and numerous white tape marks are visible on the rug as the actors walk around. (00:06:15)
A Riddle a Day Keeps the Riddler Away (1) - S1-E11
Visible crew/equipment: After Batman tells Robin to look up the address for the Royal Mushroom Club, when it cuts to Riddler's hideout a chalk T-mark can be seen on the floor near the wall opening, where Mousey will stand in a moment. (00:12:15)
A Death Worse Than Fate (2) - S1-E10
Visible crew/equipment: When Zelda releases blindfolded Harriet at the street corner, there are two curved chalk actors' marks on the ground beside Harriet's feet. (00:08:35)
A Death Worse Than Fate (2) - S1-E10
Visible crew/equipment: After the opening credits, in Commissioner Gordon's office, a white tape mark is visible on the floor near the corner of Gordon's desk, where Chief O'Hara is sitting, then Gordon walks over to his mark. (00:02:55)
Visible crew/equipment: At the diamond exchange, when Mr. Freeze and his goons are by the wall safe, the shadow of the boom mic is visible in the top right corner of the screen. (00:13:50)
Continuity mistake: When Batman and Robin scale the warehouse wall then watch Joker and his cohorts, each of the two windows have latches at the bottom, but when the Dynamic Duo burst in through the window, only the left window has a latch. (00:11:45)
Visible crew/equipment: After Joker reveals to his cohorts that his plan involves champagne, when it cuts to Commissioner Gordon standing with Batman at the microphone, as the camera zooms out the chalk T-mark is visible on the floor in front of Batman and another actor's mark in front of Chief O'Hara. (00:18:15)
Visible crew/equipment: When the museum closes early and Joker calls to each of his cohorts, their individual chalk T-marks are visible on the floor where they all stand. (00:12:40)
Visible crew/equipment: When both Batman and Robin realise that even though the museum can't be broken into, it doesn't mean someone couldn't break "out" of the museum, as they rush to the museum's front doors we can see a chalk T-mark on the ground in front of the doors. (00:13:25)
Visible crew/equipment: At the end, Joker announces the unmasking of Batman and Robin, then when Joker turns and walks toward them, multiple chalk T-marks are visible on the floor where the dynamic duo are being held. (00:23:55)
The Penguin's a Jinx (2) - S1-E4
Revealing mistake: When Penguin uses the large umbrella on his penguin line to slide across to Dawn's penthouse terrace, as he says, "Who says penguins can't fly," we can see the glistening of the crew's wire at the top of the pulley wheel, as it moves. (00:13:45)
The Penguin's a Jinx (2) - S1-E4
Visible crew/equipment: When Penguin is riding the large umbrella across the Penguin line in the wide shot, just as he is about to reach Dawn's terrace, we can see a crew member's two arms reaching out to Penguin and the top of a ladder, at the lower left side of the screen. (00:13:50)
The Penguin's a Jinx (2) - S1-E4
Revealing mistake: When Penguin uses the large umbrella to slide across the Penguin line, at the top of the umbrella there's a pulley wheel, but when he reaches Dawn's penthouse terrace there's only a small loop at the top of the large umbrella. The same thing happens when Swoop follows Penguin on another large umbrella. (00:13:40)
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)
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