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)
The Joker Trumps an Ace (1) - S1-E25
Revealing mistake: In Commissioner Gordon's office, when Batman opens Joker's gift the genie figure begins to inflate, and in the overhead shot the stunt's covered air hose is visible at the bottom of the screen. In the next shot Batman pops the figure causing it to deflate, and the wire at the top of the figure's head is visible as it descends. (00:07:05)
Batman Sets the Pace (2) - S1-E26
Visible crew/equipment: When Alfred whispers to Bruce about the Batphone, the boom mic is visible over Alfred at the top of the screen. (00:23:20)
Other mistake: After King Tut's men deliver the statue, it's referred to as a Sphinx. Even Batman says, "Rather good imitation of the 4th Dynasty's Sphinx at Giza." Problem is, the Great Sphinx of Giza is a reclining lion with a human head. The statue in Gotham's park is a ram's head atop a seated human body, resembling Egyptian God Khnum, and looks nothing like the Egyptian Sphinx. Bruce Wayne is a member of Gotham City Museum's Board of Trustees, which recently opened the new exhibit of Egyptian antiquities. (00:10:35)
Factual error: Though he's a bastion of knowledge and a member of the museum board, Bruce Wayne completely mangles Egyptian history - twice. He says that King Tut ruled in the 14th Dynasty, and that the museum's mummy was a 14th Dynasty king who ruled in 1500 BC. Wrong on both counts. Tut reigned from 1336-1349 BC. The 14th Dynasty ran from 1773-1650 BC. Wayne would have known that - and so would his well-educated colleagues, none of whom points out the error. (00:13:00 - 00:15:00)
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
Revealing mistake: When Bruce Wayne is strapped to the stretcher hurtling toward the cliff, after he breaks through the "300 Ft. Drop" sign, we cut to a different angle where the wire pulling the stretcher is visible. (00:02:40)
The Pharaoh's in a Rut (2) - S1-E28
Visible crew/equipment: After Tut's henchmen carry "Bruce" from the mansion, Robin tells Alfred to meet him in the Batcave, and as Alfred walks toward the foyer a crew member is visible past the doorway, at the left. (00:11:30)
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.
The Bookworm Turns (1) - S1-E29
Visible crew/equipment: When Printer's Devil contacts Bookworm headquarters, just as he messages "plot A washout" Bookworm walks over to the desk, and the white tape mark is visible on the rug where Lydia will stand. (00:07:25)
The Bookworm Turns (1) - S1-E29
Other mistake: When Gordon falls into the water after being shot, the footage is in black and white, vs in color.
The Bookworm Turns (1) - S1-E29
Revealing mistake: At about the 6:40 mark into the episode, The Bookworm puts an explosive device in the Batmobile which is detected automatically. Batman pushes the auto eject to throw it out of the car. As the special effects prop explodes, you can see the rope it is hanging from as it swings to the side.
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)
While Gotham City Burns (2) - S1-E30
Visible crew/equipment: When Batman and Robin use the Batmobile's high energy radar to probe the giant cookbook, and also when they use the Bat-magnet, the reflection of the moving boom mic/pole is visible on the bubble windshield. (00:11:40)
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)
While Gotham City Burns (2) - S1-E30
Other mistake: When Batman realises what needs to be done, the camera turns to Robin with a sixty second clock on screen. Supposedly, Batman did all his actions within sixty seconds to save Robin. Robin was saved after two minutes and three seconds.
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.
Death in Slow Motion (1) - S1-E31
Audio problem: In the distance shot, when Robin responds to Batman's call, his lips don't move, but you hear him.
The Riddler's False Notion (2) - S1-E32
Visible crew/equipment: When Commissioner Gordon apologizes to Batman, the Caped Crusader tells Gordon to be careful from whom he accepts free lemonade, and during this conversation the reflection of the boom pole/mic is visible on the Batmobile's windshield. (00:03:40)
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