A Riddling Controversy (2) - S2-E46
Continuity mistake: When Riddler and his baddies are at their factory hideout watching the news of their criminal coup on TV, in shots facing the TV the two rabbit ear antenna are fully retracted, but in shots from behind the TV the antenna are extended by approximately a foot. Later, there's a similar occurrence with the TV antenna, while Batman and Robin use the Batrope to climb the wall. (00:03:20)
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.
A Riddling Controversy (2) - S2-E46
Continuity mistake: In the park at the statue base, Batman uses a knife to open the telegram. As he reads, the knife is pointed up, and a moment later, it's down.
A Riddling Controversy (2) - S2-E46
Revealing mistake: When Batman and Robin use their jets to get out of the quicksand, as they fly up, you can see the wires used to pull them up.
A Riddling Controversy (2) - S2-E46
Continuity mistake: At the end, Riddler's moll Anna Gram's earrings disappear, just as Batman and Robin arrive before the fight.
Answer: It's wasn't unusual for multiple actors to play one character on this show. The villains on the TV Batman were played by guest stars, not regular cast members. George Sanders, Otto Preminger, and Eli Wallach played the part at various times. They may simply have only wanted to play the part once or twice, or they were later tied up with other projects, making it necessary to cast someone else. Other characters, like Catwoman, were also played by more than one actress.
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