The Conscience of the King - S1-E14
Continuity mistake: When Spock explains to McCoy his theory of Kodos' use of eugenics, the background behind Spock is a wall of red grating, but the shots of Spock speaking to McCoy alone (McCoy isn't in the shot) show a blue background wall with a control panel on it. (00:21:55)
The Conscience of the King - S1-E14
Continuity mistake: As Kirk asks the Enterprise's computer about the history of Anton the Actor and Kodos the Executioner, his hands change positions from being away from the computer's controls to near them, then clasped as the shots quick cut.
Who Mourns for Adonais? - S2-E2
Continuity mistake: In the original version, the giant hand is holding the Enterprise for most of the episode, but when the Enterprise fires phasers at Apollo's temple, the hand is gone.
Continuity mistake: When Scotty thwarts Garth, disguised as Kirk, attempts to beam to the Enterprise using the Queen-to-Queen level three code, Kirk throws a tantrum and accidentally loosens one of his controls during his rant right before he turns back to Garth.
Suggested correction: How is that a mistake?
Continuity mistake: When the Enterprise tries to escape Gothos, and the planet blocks the ship's path each time, Gothos is very transparent, where the stars could be seen through the planet.
Continuity mistake: After Spock nerve pinches Chekov when he goes mad and he is taken to Sickbay, the Tholian ship appears and hails the Enterprise. When Spock says "on main viewer," the shot of Loskene is on the screen, but the back of Chekov's head can be seen when it should be in Sickbay.
A Taste of Armageddon - S1-E24
Continuity mistake: At the end of the teaser, Kirk orders Yellow Alert, but the Red Alert alarm sounds.
Continuity mistake: After the heavy door lands on Korob, his right arm is straight down by his side. The next shot of Korob shows his right arm extended away from his body.
Continuity mistake: After the battle ends, Kirk looks up to the exact spot where the Metron will be standing, way before the Metron even materializes. (00:45:53)
Continuity mistake: After Kirk tells the Metrons that he won't kill the Gorn, he yells out "you'll have to get your entertainment someplace else." Two seconds later, Kirk turns his head to the side and looks stunned. That look of surprise takes place a full second before the Gorn starts to disappear. (00:45:47)
Continuity mistake: In the turbolift, Chekov is standing to the left, but when the door opens he has moved to the right and exits behind Spock. (00:10:40)
Continuity mistake: On the planet surface, in the scene where the three security men walk around the rock, Garrovick has his arm up with his phaser. When the camera angle cuts to him alone, his arm is suddenly down.
Continuity mistake: Latimer falls down face down but when picked up he is already face up.
Continuity mistake: Gary Seven pushes a pen holder over to open the doors. The pen wasn't returned to the upright position, but was up when Kirk came in.
Shore Leave - S1-E16
Continuity mistake: At the end Angela is not with the group then strangely reappears without any reason given.
Continuity mistake: After Spock and Kirk attempt to trap Charlie into a room with a force field, Charlie makes the wall disappear and then freezes Kirk and Spock in place. Spock has his right hand against the wall at about chest level with himself. The camera cuts to a closer angle and suddenly his hand is higher up, about face level. (00:39:47)
Continuity mistake: When Kirk begins to question Charlie about the melted chess pieces, there is a close up of Kirk showing light cast down him him with his chest void of any shadows. When cut to a wide angle, he suddenly has shadows on his chest from lighting changes. (00:22:36)
Continuity mistake: Uhura starts to sing and walk around Spock as he plays. In Spock's close ups, the wall behind him is pink and green, but in the further shots the walls are a blue color with nothing behind him that could have been making the green and pink colors in the close ups. (00:10:50)
Continuity mistake: Just before Uhura begins to hum with Spock's playing of his instrument, she is leaning over a table where they are playing cards. She has one hand on her cheek and then brings the other up to her face as well. When it cuts to a side angle, she's suddenly bringing her hand up to her face again in a repeated action. (00:09:47)