The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: Outside the run down factory, when the GC police officers step out of their patrol car and walk over to the Batmobile, just as senior Officer Dietrich begins giving the rookie officer the what for, the reflection of the boom mic is visible on the Batmobile's left bubble windshield, at the left side of the screen. (00:10:50)
The Duo Is Slumming (2) - S2-E32
Visible crew/equipment: When Puzzler and his high-flying flunkies exit the shed it cuts to the Retsoor in Knab's hangar, and a few chalk T-marks become visible on the ground near the nose of the plane. (00:19:40)
Marsha's Scheme of Diamonds (2) - S2-E24
Visible crew/equipment: At GCPD, when Marsha and her Grand Mogul enter Commissioner Gordon's office bringing with them a cage with two toads, there are two white tape marks visible on the rug beside the desk. (00:19:35)
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)
Penguin Is a Girl's Best Friend (1) - S2-E42
Visible crew/equipment: While Batman and Robin are at the studio, Harriet and the others from the Gotham City League of Film Decency confront Penguin about scene 12. When Harriet says, "This scene is bursting with other things as well," there's a shot facing Marsha with two other women, and we can see a curved chalk mark at Marsha's feet and a chalk T-mark at the other woman's feet. (00:13:20)
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 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)
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.
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)
Scat, Darn Catwoman (2) - S2-E41
Visible crew/equipment: After Commissioner Gordon and Chief O'Hara arrest Pat Pending at his apartment, it cuts to the Batcave where Batman is writing a note to Alfred, and when Batman walks over to the Batmobile there are a few white chalk T-marks scattered on the floor. (00:13:45)
The Contaminated Cowl (1) - S2-E35
Visible crew/equipment: When Mad Hatter has Batman's pink cowl he enjoys his short sweet victory. In the next shot the Dynamic Duo walk in, and at the end of this shot the actor's chalk mark is visible on the floor at Mad Hatter's feet. Then as the goons nab Robin and Batman, more chalk T-marks are visible on the floor. (00:22:45)
The Catwoman Goeth (2) (a.k.a. A Stitch in Time) - S2-E34
Visible crew/equipment: When Alfred and Batman take off from the Batcave on the Alf-cycle (a nod to Batman's quick head-dip), it cuts to the exterior scene at the Run Down Factory. When the GCPD patrol car pulls up, in their closeup the movement of a crew member's reflection is visible on the triangle vent mirror, at the bottom left side of the screen. (00:10:30)
The Bat's Kow Tow (2) - S2-E30
Visible crew/equipment: While Allan Stevens interviews Batman and Robin they have surprise visitors, and as Catwoman and her Kittens take their places pointing the weapons at the audience, the black tape mark is visible on the floor at Catwoman's feet. (00:06:45)
It's the Way You Play the Game (2) - S2-E26
Visible crew/equipment: After Batman and Robin have "set another youth on the road to a brighter tomorrow," they walk away from Andy, then when they stand beside the Batmobile, the vertical reflection of the moving boom pole/mic is visible right beside Robin's reflection, on the left side of the windshield. (00:03:50)
The Clock King's Crazy Crimes (1) - S2-E11
Visible crew/equipment: After the Dynamic Duo climb up the side of the building they enter through the window, and a chalk T-mark is visible on the floor where Batman stops when he sees Clock King sitting at a desk. Then, as Batman and Robin slide around on the floor coated with watch oil, when Clock King stands up we can also see the curved chalk mark on the floor by his feet. (00:21:50)
Visible crew/equipment: While Batman and Robin are tied to the spit and rotating, when Batman says, "If we could just shake this turn spit pole loose," in the next shot note the shadow of a crew member moving their arm up, at the lower right corner of the screen. (00:03:35)
Walk the Straight and Narrow (2) - S2-E2
Visible crew/equipment: At stately Wayne Manor, when Bruce and Dick are practicing their archery, two white tape marks are visible on the grass; one for Dick and the other for Alfred. (00:23:05)
While Gotham City Burns (2) - S1-E30
Visible crew/equipment: After Gotham City PD show up at the giant cookbook with the Dynamic Duo trapped inside, when Gordon, O'Hara, and the officers are standing at the cookbook's cover, the chalk T-mark and other chalk marks are visible on the ground. (00:15:50)
Visible crew/equipment: At the end Harriet surprises Bruce and Dick with a rehabilitated criminal, and when Blaze walks in we can see the shadow of the moving boom mic on the left side of the screen. (00:23:05)
When the Rat's Away the Mice Will Play (2) - S1-E12
Visible crew/equipment: After the Batman imposter has met Bruce Wayne in Commissioner Gordon's office, when it cuts to the imposter returning to Riddler's hideout, the chalk T-mark and another mark are visible on the floor near Mousey's feet. (00:16:25)







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