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)
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)
Death in Slow Motion (1) - S1-E31
Continuity mistake: Van Jones is very upset at Riddler's Charlie Chaplin impression, but in a wide shot, he is smiling with everyone else.
The Pharaoh's in a Rut (2) - S1-E28
Continuity mistake: When the fight starts and after Batman gets into the sword fight with Tut's henchman, Tut's women start to leave. But in the close-up when Batman states he stayed sane by reciting the multiplication tables backwards, the women leave again.
Continuity mistake: At the beginning, in the wide shot of Batman and Robin over the candle dipper, Riddler is standing with his back towards them, but in the close-up, he is facing forward.
Continuity mistake: There is a jump cut at the beginning when Batman and Robin are being lowered into the vat of wax, where all of a sudden, Batman is trying to wiggle his legs free.
Not Yet, He Ain't (2) - S1-E22
Continuity mistake: When Batman and Robin are being chased by O'Hara and the cops, Batman raises his hand, goes to throw a smoke grenade, then in the next shot, he raises his hand again to actually throw it.
Continuity mistake: Everytime the Joker is shown on TV his hair is brown, but before and after the broadcasts, it's his usual green with no time for him to change it.
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