Is There in Truth No Beauty? - S3-E5
Continuity mistake: At the dinner for Miranda, Kirk drains his glass. No one refills it, but it's nearly full again a few shots later. (00:08:25 - 00:10:35)
Suggested correction: Kirk's glass is not empty at 8:25, it is the top of the decanter in front of his chest that looks like an empty glass in the shot. Later Kirk empties his glass during toasts and refills his own glass as he watches Marvik leave the room.
Is There in Truth No Beauty? - S3-E5
Continuity mistake: Kirk aims his phaser at a berserk Spock's head and fires, but the beam hits him in the stomach.