The Clock King Gets Crowned (2) - S2-E12
Continuity mistake: Batman and Robin are trapped in the overturned hourglass. They're sitting upright when Batman suggests an escape plan. In the very next shot, they're sprawled face down on the sand. (00:04:15)
The Clock King Gets Crowned (2) - S2-E12
Continuity mistake: Batman tosses a large white box at one of the henchmen. The box lands on the round dais of the clockworks, but as that dais begins to rotate, the box disappears. It pops back up a few shots later, now sitting on the stationary corner of the clockwork platform. But as the fight rages on, it vanishes again between shots. (00:21:30 - 00:22:10)
An Egg Grows in Gotham (1) - S2-E13
Revealing mistake: A lot of the time, especially in close ups, you can see the line between the bald dome wig and Vincent Price's real skin, as well as the different coloring of skin.
The Yegg Foes in Gotham (2) - S2-E14
Continuity mistake: Just before Bruce Wayne tosses the grape to set it off, Egghead's miniature radar bomb moves to a different position on the floor all by itself. (00:04:00 - 00:05:20)
The Yegg Foes in Gotham (2) - S2-E14
Visible crew/equipment: During the final egg fight, the microphone shadow puts in an appearance on the wall behind the bad guys. (00:21:50)
The Yegg Foes in Gotham (2) - S2-E14
Visible crew/equipment: After Bruce defeats the radar egg using a grape it cuts to Commissioner Gordon at the raccoon pellet ceremony, and when the millionaires walk in, there are two chalk T-marks visible on the floor, beside Chief Screaming Chicken.
The Devil's Fingers (1) - S2-E15
Visible crew/equipment: When Commissioner Gordon calls Chandell to reassure him that Batman and Robin are back in action, Chandell shares more root beer with Harriet. Then, when he hints for her to leave, a T-mark taped to the floor is visible at the lower left side of the screen. (00:18:20)
Continuity mistake: Tied to a conveyor belt, Batman and Robin move past a stack of boxes stenciled with the factory's name. Cut to close-up, and they're now back to a position right next to the boxes. Back to master shot, and the boxes are once again several feet away - at least until the next close-up. (00:02:50)
Visible crew/equipment: When Harry plots to replace Chandell, the polished grand piano behind him reflects the moving lights on some of the studio equipment. (00:15:30)
Continuity mistake: Batman folds up the Bat Shield and starts to tuck it into his belt, which it is much too large to fit into. In the very next shot, the shield has disappeared. (00:21:00)
Hizzonner the Penguin (1) - S2-E17
Visible crew/equipment: At the start, when Penguin rescues a blind vendor in view of a GCPD officer, Penguin claims that the accusation he would molest a minion of the law is inconceivable, then as he pushes the vendor toward the officer, two chalk T-marks are visible on the ground. (00:00:50)
Hizzonner the Penguin (1) - S2-E17
Visible crew/equipment: After Batman and Robin are captured at GOON HQ, when it cuts to the bound Caped Crusaders hovering over a vat of sulphuric acid, in the overhead shot some chalk actors marks are visible on the floor beside the vat, at the bottom of the screen. (00:22:00)
Hizzonner the Penguin (1) - S2-E17
Continuity mistake: At the end of the episode, the pointer on the scales alternates from pointing between "AGONY" and "K.O." to pointing between "CLOSE" and "AGONY" and back again. (00:22:05)
Hizzonner the Penguin (1) - S2-E17
Other mistake: When Pengy shows up at the Grand Order of Occidental Nighthawks he feigns shock, then as he shoves his umbrella into the vat of sulfuric acid, Penguin moves his arm/hand toward the right to pull out a different umbrella, one that appears destroyed by the acid. (00:22:55)
Hizzonner the Penguin (1) - S2-E17
Continuity mistake: The indicator arrow alternates between AGONY and KO too quickly.
Hizzonner the Penguin (1) - S2-E17
Continuity mistake: The man with the tambourine goes from standing still just shaking the tambourine to moving wildly between shots.
Dizzonner the Penguin (2) - S2-E18
Other mistake: In the fight in Convention Hall, when the goons surround Batman, watch the one on the front left. He's punching over and down, yet he's hitting nothing.
Dizzonner the Penguin (2) - S2-E18
Other mistake: Batman throws himself into acid. Counting on acid-proof suits, Batman comes out unscathed, but his ropes didn't get burned off until he dipped the back into the acid. Also, even though he covered his face a moment, he came out with his face exposed, and undamaged, when it should have been burned.
Dizzonner the Penguin (2) - S2-E18
Continuity mistake: In the beginning, Batman and Robin's side of the scales are lowering them down. At one point, it isn't moving.
Continuity mistake: Mr. Freeze has frozen the commissioner's office, and when Batman applies plastic explosive to the door, a frost stripe appears that wasn't there in the master shot a moment before. In the next shot, the putty he's just put there disappears. And when the explosion occurs (even though Batman didn't add any detonators), it doesn't emanate from anywhere near the spot where he applied the putty. (00:06:00)
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