Penguin Is a Girl's Best Friend (1) - S2-E42
Visible crew/equipment: When Harriet, Alfred, and the others arrive at the studio while Batman and Robin are on set, the actor's curved white chalk mark is visible on the floor where Alfred stands. (00:12:10)
Minerva, Mayhem and Millionaires - S3-E26
Visible crew/equipment: At the start, in the two consecutive scenes with millionaires William Dozier and then Howie Horwitz, while they're being treated to Minerva's renowned scalp massage, the chalk T-mark is visible on the floor at the lower left side of the screen, and in the Horwitz scene Minerva's small mark is also visible on the floor behind the spa chair. (00:00:45)
Minerva, Mayhem and Millionaires - S3-E26
Visible crew/equipment: Minerva tells Freddie that if she'll get the diamonds from the Wayne Foundation vault, he can fence them. When it cuts to Commissioner Gordon, Batgirl, and Chief O'Hara pacing the floor, three small white tape marks are visible on the rug in front of the coffee table, where each of them stop and turn on their marks. (00:05:35)
The Entrancing Dr. Cassandra - S3-E25
Visible crew/equipment: After Batman discovers Cassandra's true identity in the alchemy book, he takes a call from Commissioner Gordon on his cute portable Batphone, then he and Robin head to Spiffany's. When it cuts to Spiffany's, just as narrator William Dozier says, "Gotham City's fashionable 15th Ave," the actor's white marks are visible on the floor under the table. Then we see Cassandra's and Cabala's white T-marks when they walk in. Next, upon the Terrific Trio's entrances, we see their T-marks as well. (00:08:25)
The Entrancing Dr. Cassandra - S3-E25
Visible crew/equipment: After Alfred has placed the two-dimensional Terrific Trio into the Three-Dimensional Bat-Restorer, when they all walk out of the chamber, two chalk T-marks are visible on the floor. First we see Batgirl's T-mark and then Robin's. (00:16:50)
I'll Be a Mummy's Uncle - S3-E23
Visible crew/equipment: When King Tut runs back up the shaft and encounters Batgirl, Commissioner Gordon, and Chief O'Hara, he is reveling giddily in the truth he has discovered. Then, when Batman and Robin show up, their chalk T-marks are visible on the ground. (00:21:10)
The Great Train Robbery (2) - S3-E22
Visible crew/equipment: When Shame has finished reading Batman's skywriting message, as he says, "Darned if I won't be there," the shadow of the boom mic dips into view at the top of the green door, at the right side of the screen. (00:17:20)
Nora Clavicle and the Ladies' Crime Club - S3-E19
Visible crew/equipment: When Batman and Robin are seated in the Batmobile with Batgirl standing alongside, while they listen to the ridiculous police dispatcher, the reflection of the moving boom mic is visible on the front windshield's chrome trim. (00:10:00)
Louie's Lethal Lilac Time - S3-E18
Visible crew/equipment: Commissioner Gordon and Chief O'Hara think Batgirl has joined Batman and Robin inside Louie's hideout, so they decide to stay put where they are. In the next shot, when two of Louie's goons report that the Batmobile is outside, the white tape mark is visible on the floor by their feet. (00:06:15)
The Joke's on Catwoman (2) - S3-E17
Visible crew/equipment: At the start, when the crime fighting trio split up Batgirl heads to her motorcycle, and when she attempts to start it two chalk T-marks are visible on the ground, one under the motorcycle in front of the rear tire and another beside the front tire. (00:00:35)
Visible crew/equipment: When Olga shouts, "Da, da, da! Drowning her in caviar!" in the overhead shot, the boom mic repeatedly dips into view over Olga, at the top of the screen. (00:21:55)
Visible crew/equipment: After Egghead dumps Batgirl into the vat of caviar, Egghead, Olga, and the Cossacks attempt to escape, then just as they run out the door, a bit of set lighting equipment (which wasn't in previous shots) is visible at the left side of the screen. (00:22:10)
Visible crew/equipment: While Batman and Batgirl are in the dungeon attempting to escape, it cuts to Alfred and Robin meeting up at the Batmobile at the same time, and the reflection of the diagonal boom pole is visible on the windshield. (00:16:15)
Surf's Up! Joker's Under! - S3-E10
Visible crew/equipment: After Batman wins the competition, when Hot Dog is finally released from the trash can Joker rushes over to claim it was just a little joke, and the microphone pops up into view at the bottom of the screen. (00:21:10)
Surf's Up! Joker's Under! - S3-E10
Visible crew/equipment: After Batman and Robin head out to Joker's hideout, when it cuts to Joker upon his success at stealing all of Skip's talent and vigor, just as Joker says, "You know what this means boys, the surfing championship," we can see the shadow of the boom mic moving at the far right side of the screen. (00:09:50)
How to Hatch a Dinosaur (2) - S3-E9
Visible crew/equipment: While Batman and Robin are in Commissioner Gordon's office Barbara reports the theft of the Neosaurus egg, and when Batman suspects it's connected to the radium theft, he and Robin decide to use the Batcomputer at the Batcave. Just as the Dynamic Duo rush to Gordon's door the camera turns to follow them, and we can see filming equipment at the right side of the screen as it tries to move out of view. (00:09:55)
How to Hatch a Dinosaur (2) - S3-E9
Visible crew/equipment: After Egghead tells Olga he's planning a three-course meal for the Neosaurus consisting of Batman, Robin, and Batgirl, and for dessert - Commissioner Gordon and Chief O'Hara. Then it cuts to the Batcave as Batman talks about the Bat-geiger, and when the camera moves closer we can see the camera movement's reflection on the windshield, at the bottom right corner of the screen. (00:15:15)
Visible crew/equipment: At the start, Egghead and the Cossacks ride past two women, and they stop to watch, then when the camera zooms in on them the reflection of the moving boom pole/mic is visible on the glass window, at the top right side of the screen.
Caught in the Spider's Den (2) - S2-E56
Visible crew/equipment: In Commissioner Gordon's office, when Gordon and Chief O'Harah walk over to the Batphone so they can talk to Robin and get him to surrender, we can see the actor's white tape mark taped to the rug, just as Gordon removes the clear acrylic dome from the Batphone. (00:17:20)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: While Penguin and all his goons are holed up in the sub-treasury vault, in the shots of Batman, Robin, Gordon, and O'Hara waiting for three days, assorted chalk marks are visible on the floor where some of the actors stand or will stand. (00:17:10)
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