The Greatest Mother of Them All (1) - S2-E9
Visible crew/equipment: While the GCPD has the Parker house surrounded Ma sits herself down on a rocking chair, and in the next shot as the officer uses the bullhorn to announce she doesn't have a chance, the reflection of the boom pole/mic is visible on the windshield. (00:07:05)
The Penguin Declines (3) - S2-E39
Visible crew/equipment: When Venus is at the Batcave, loads of fisticuffs ensue between the Caped Crusaders, Joker, Penguin and all the baddies. While Robin is up on the atomic pile scaffolding he punches one goon off the ladder, then as he falls we can see the edge of the brown crash mat rise up, right before the word "SPLATT!" appears onscreen. (00:20:50)
The Joker's Hard Times (2) - S2-E38
Visible crew/equipment: After Joker and his henchmen steal the statue, it cuts to Commissioner Gordon and Chief O'Hara as they recover from their shock paralysis, and when they walk over to Gordon's desk, the wheel of filming equipment is visible at the right side of the screen. (00:04:55)
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)
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)
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)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: When Marsha is down to one veil she ends her dance, then as she and Aunt Hilda try to get away they're stopped by the love-sick sub-treasury guards, and there's a curved white chalk mark on the floor where Marsha stands. (00:12:05)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: When the Dynamic Duo follow the lizard trail and go down into the manhole they end up in Hilda's cave, and when they approach Penguin's goon standing by a door, there are two chalk T-marks on the floor near that door. (00:08:50)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: At the sub-treasury, when the guards hear the sound of Marsha's music they turn towards her distraction then move closer, and curved white chalk marks are visible on the floor where the actors will stand, in this shot and a following shot. (00:07:20)
Penguin's Disastrous End (3) - S2-E44
Visible crew/equipment: While Penguin and his bumpkins are hiding out in Aunt Hilda's cave, Hilda tells darling Pengy he's lucky that she's soft hearted, and the two curved chalk marks are visible on the floor where Marsha and Penguin will stand. (00:03:45)
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)
That Darn Catwoman (1) - S2-E40
Visible crew/equipment: When Pat Pending tells his valet, Rudy, that all his money is safer hidden in his mattress, Catwoman and her cohorts break in, then knock out Pending and Rudy. As Catwoman walks toward the bed there are two chalk marks visible on the floor, one of them at her feet. (00:17:20)
The Penguin Declines (3) - S2-E39
Visible crew/equipment: When Batman and Robin bring Venus to the Batcave, just as she says, "It's fabulous," the reflection of the moving boom pole/mic is visible on one of the Bat-computer screens, at the bottom right corner of the screen. As this shot continues, when Robin points out their Bat-radar, a chalk T-mark is visible on the floor near Batman's foot. Then, when Penguin, Joker, and the goons appear, more chalk T-marks are visible on their side of the floor. (00:17:10)
The Zodiac Crimes (1) - S2-E37
Visible crew/equipment: After Joker has stolen the map from Commissioner Gordon's office, he rushes to the window and calls for Venus, then just as Joker places his foot onto the lowest ladder rung, we can see a crew member's hand holding the same rung near Joker's foot, at the bottom of the screen. (00:02:05)
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 Puzzles Are Coming (1) - S2-E31
Visible crew/equipment: At the Knab Aircraft hangar Puzzler arrives in the truck just as Knab is leaving, and when Puzzler walks to the back of the truck the reflection of the boom mic is visible on the right back door windows. (00:14:45)
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)
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