A Riddling Controversy (2) - S2-E46
Visible crew/equipment: During the "Batfight" at the end, it is extremely obvious that the Riddler is a stuntman and not John Astin, note that the stuntman does not have a mustache.
Directed by: Leslie H. Martinson
Starring: Cesar Romero, Adam West, Burt Ward, Lee Meriwether
A Riddling Controversy (2) - S2-E46
Visible crew/equipment: During the "Batfight" at the end, it is extremely obvious that the Riddler is a stuntman and not John Astin, note that the stuntman does not have a mustache.

Marsha, Queen of Diamonds (1) - S2-E23
Continuity mistake: After Batman has been hit by Marsha's love dart, when Robin pulls the dart out and then begs Batman to resist it, in these semi closeups note Burt Ward's uncovered forearm with his still-healing burn wound. Then, while the Dynamic Duo fight Marsha's sabre wielding goons, Marsha hits Robin with another one of her darts and orders him to attack Batman. When this happens, Burt Ward's forearm now has a compression bandage around the wound. (00:13:55)
The Catwoman: You dismal bird! You and your submarine, Where has it got us now?
The Penguin: Shut up, you feline floozy.
Trivia: In his appearances as The Joker, Cesar Romero's moustache is visible under his makeup. Romero refused to shave it off, so his makeup had to be applied over it.
Question: What city was used for Gotham City?
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