He Meets His Match, the Grisly Ghoul (2) - S1-E16
Continuity mistake: When Batman surprises Joker and his henchmen in the gym, his shadow is on the wall behind them, his cape spread out and forming a menacing bat shape. But when the shot cuts to him and Robin, Batman's cape isn't spread. He's standing with his arms down. (00:20:40)
Continuity mistake: When False Face escapes from the bank he has Blaze with him in the Town Panel truck, and she's handcuffed to the overhead pipe. Blaze is wearing a neutral color nail polish, but in the closeups of her cuffed hand her nail polish is salmon colored. (00:14:30)
The Purr-Fect Crime (1) - S1-E19
Continuity mistake: Catwoman dangles an unconscious Robin face-down on a tilting board over her tiger pit. He comes to, pulls his arms free and clutches the board's edges. In the next, closer shot, he's unconscious again, wakes up and repeats the grabbing-the-board motion. (00:07:30)
The Purr-Fect Crime (1) - S1-E19
Continuity mistake: Catwoman curls up with a large red book. In the master shot, she's holding and reading the lefthand pages. In the close-up insert, her hands are suddenly grasping the righthand pages instead. Cut back to master shot, and she's again holding the left side of the book. (00:08:30)
Better Luck Next Time (2) - S1-E20
Continuity mistake: While Batman is increasing his communicator's audio modulation so as to incapacitate the tiger, Batman is wearing Bat Ear Plugs to protect his hearing. As Batman turns his head in the closeup, we're able to see that the Bat Ear Plug has vanished from his right ear, then it reappears in its proper place. (00:04:55)
Not Yet, He Ain't (2) - S1-E22
Continuity mistake: Penguin loads all his loot into the stolen Batmobile - so much loot that the trunk can't close. Yet in the very next shot, as he drives away, the trunk has somehow shut itself. (00:17:30)
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.
Not Yet, He Ain't (2) - S1-E22
Continuity mistake: When the Batmobile is blocked by the second police car, it's stopped on an angle, and almost touching the car. When the Penguin commandeers the Batmobile, it's sitting correctly on the road, so that it can be driven easily without really needing to back up.
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.
The Joker Trumps an Ace (1) - S1-E25
Continuity mistake: The Joker reveals himself by throwing off his cape, which drops to the floor behind him. But when the shot cuts, the cape instantly disappears. (00:00:50)
Continuity mistake: While Bruce Wayne is lying on a gurney at the back of the ambulance, in the wide shot of Tut's henchmen driving along on the street, there's a rearview mirror on the windshield and a single beacon light on the roof, but in the closeups the rearview mirror is gone and there are two beacon lights on the roof. (00:21:30)
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.
While Gotham City Burns (2) - S1-E30
Continuity mistake: While Bookworm is at stately Wayne Manor he hands Aunt Harriet a book, and when she opens it Harriet and Alfred are gassed unconscious. In the next closeup of the rare book encased in glass, its open pages have colorful illustrations, but in the next shot the open pages have only plain text. (00:09:30)
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 Riddler's False Notion (2) - S1-E32
Continuity mistake: When the Riddler has a blindfolded Robin out on the window ledge, the position of Robin's blindfold changes between shots, from covering his nose entirely to being just above 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