Smack in the Middle (2) - S1-E2
Continuity mistake: Elephant-man Riddler is the one man left standing in the room. The problem is, he is standing with one hand on his hip, which becomes a totally different pose at the cut, with the arm chest-high and his finger pointing down. (00:19:55)
Continuity mistake: The cake exploded and the ambassador is on the floor, his back to the tent. In the wide angle shots and in the close-up, the position is quite different; just look at the golden filigree draped over the tent. (00:01:30)
Smack in the Middle (2) - S1-E2
Continuity mistake: During the bait pursuit, Riddler tells Molly-Robin to hold the wheel for him as he puts his helmet on. The Batmobile in pursuit is featured in recycled footage, since both Batman and Robin are in it. (00:08:10)
Smack in the Middle (2) - S1-E2
Continuity mistake: Riddler stares at Batman and Robin popping out of the stuffed animal; in the wide shot he has a (delayed, really) reaction opening up his hand, which becomes a closed fist in the next angle. (00:20:50)
Smack in the Middle (2) - S1-E2
Continuity mistake: The Prime Minister is talking about the stuffing of the mammoth; in the wide shot a couple is approaching, turning round the beast. In the closer angle, they are already behind him. (00:17:10)
Smack in the Middle (2) - S1-E2
Continuity mistake: After wu-xia style jump on the Batmobile reactor, Batman tells the girl "Wait, Molly." In the close-up there's no rope, but before and after there's still the batarang rope visible by him. (00:11:35)
Smack in the Middle (2) - S1-E2
Continuity mistake: Riddler just sent Molly to make the mask. As he sprays Robin, the strap across his chest is fastened in a different way in the close-up. (00:03:20)
Smack in the Middle (2) - S1-E2
Continuity mistake: When Riddler emerges from the ventilation system, the grate is placed against the hole. In the rest of the scene it disappears. (00:18:50)
Smack in the Middle (2) - S1-E2
Continuity mistake: After Riddler bursts through the vent, the position and arm movements of Aunt Harriet are inconsistent between shots. (00:18:45)
Continuity mistake: Alfred is removing the tray from the table, and Dick leans against the fireplace; between shots, Burt Ward is holding the glass at different heights (look at the mantel decorations). (00:12:45)
Continuity mistake: When Riddler hands Batman the lawsuit, he is holding the parchment either one or two handed. Robin also goes from being on his knees to standing, head well above Batman's. (00:11:30)
Continuity mistake: Dick waves the lawsuit in front of Bruce telling him it might contain the other 2 clues, prompting a "Great Scott." He is holding it with hist right hand, then the left. (00:13:50)
Continuity mistake: When Robin moves away from the window of the art gallery, the shadow he casts is completely different between shots. (00:09:00)
The Joker's Hard Times (2) - S2-E38
Continuity mistake: When the Joker directs Gordon and O'Hara to look at the statue of Justice, they look at it from a front view. But when Joker comes out of the Police building where he left them frozen, it's from behind the statue, rather than in front.
Continuity mistake: At the end, when Minstrel is cornered by the Dynamic Duo, he pulls out his sparking remote unit. After being told it won't work, as O'Hara cuffs him, the unit that was in his hand disappears.
Continuity mistake: Batman's utility belt is normal in the beginning, but suddenly has a triple sized compartment when Batman goes to get up on the catwalk with his rope. (00:03:30)
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.
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)
A Riddling Controversy (2) - S2-E46
Continuity mistake: In the park at the statue base, Batman uses a knife to open the telegram. As he reads, the knife is pointed up, and a moment later, it's down.
Continuity mistake: When the Batmobile comes in, there's a turntable it parks on to turn it around. Sometimes it's seen for a moment as Batman and Robin get in, but then it's suddenly gone with no evidence of its existence a moment later.
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