The Purr-Fect Crime (1) - S1-E19
Deliberate mistake: At the end, Batman chooses the button on the right which opens the door on the right, with the tiger inside, but the last shot of the episode has been flipped, so the tiger exits from the door on the left. (00:23:25)
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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