Batman Displays His Knowledge (2) - S2-E50
Continuity mistake: When Batman and Robin are trying to escape from the giant coffee cup at the beginning of this episode, spots of moisture keep appearing and disappearing on Batman's costume.
The Contaminated Cowl (1) - S2-E35
Continuity mistake: After the Mad Hatter's spray turns Batman's cowl pink, Batman and Robin are shown in the Batmobile, headed back to the Batcave. The stock shot shows Batman wearing his regular blue cowl while inside the car. Once they get to the Batcave, Batman's cowl is pink again.
Continuity mistake: When Batman is strapped into the electric chair, his utility belt is the standard flat-front, blank, yellow boxes. Once Batman breaks the wire loose to send a message, there is a large, black and yellow button attached to the the right front of the belt.
The Funny Feline Felonies (1) - S3-E16
Continuity mistake: When Catwoman shoots the bullet into Commissioner Gordon's office, about a quarter-inch of the bullet remains exposed. However, when Batman goes to pull it from the wall, about four times as much of the bullet is now exposed.
Penguin's Clean Sweep - S3-E20
Continuity mistake: After Batman has captured the last fruit fly, he goes to put the vial away in his utility belt. In the close up shot, his hands move toward the left side of the belt. The shot changes to a long view and his hands are now instantly coming up from the right side of his belt.
Shoot a Crooked Arrow (1) - S2-E1
Continuity mistake: When Batman and Robin are ensnared by Archer's net, Batman says he will get his batknife to free them. When Archer shoots them down with the arrow, they are apparently unconscious but with no explanation of what knocked them out while stuck in the net.
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.
Catwoman Goes to College (1) - S2-E49
Continuity mistake: When they first go to the bat poles, Bruce is on the right. The next shot at the bottom, Bruce/Batman is on the left and Dick/Robin is on the left. They switched sides. It has happened throughout the series.
The Sandman Cometh (1) - S2-E33
Continuity mistake: When Dick and Bruce go "to the bat poles" Dick is on the left side and Bruce on the right. When they get to the bottom, they have switched poles. Dick is on the right and Bruce is on the left.
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