Not Yet, He Ain't (2) - S1-E22
Factual error: When the Penguin steals the Batmobile, Batman spies on him from a tiny camera he says is hidden behind the car's fuel gauge. But the picture he and Robin are viewing has been shot from several feet away from the car, not from inside it. (00:11:15)
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
Revealing mistake: When being gunned down by O'Hara cops, there are no bullets coming from the cop who gunned Batman down, but he still reacts to it.
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.
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