Continuity mistake: After Spock's Brain is taken McCoy says he has no idea how long the body can last on life support without the brain. Somehow in the following few moments McCoy has established that Mr Spock's Body will die in exactly 24 earth hours. No explanation is given as to how he came up with this figure.
Continuity mistake: In "Amok Time" Spock described Vulcan mating rituals as "a thing no out-worlder may know" - here he goes on about them with Droxine at some length.
The Empath - S3-E12
Continuity mistake: During Kirk's torture scenes, the back shots have Kirk's arms stretched wide apart and yanked straight - the front shots have the chains going overhead and his arms are bent at the elbows.
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.
Continuity mistake: When Chekov sits outside the general store chatting with Sylvia, his left arm and her right alternate from entwined to un-entwined and back again as the shots change. (00:27:40)
Continuity mistake: After Garth attempts to convince Mr Scott that he is Captain Kirk and to beam him up, while he is banging his fists on the floor in anger he transforms back into himself and the fly like ring on his finger breaks and slides out of shot. It's quite hard to see but it does. The next time we see Garth's hand his ring is intact yet he has not transformed himself again to repair it.
Continuity mistake: When the prosecutor visits the cell, Kirk's hands on the bars change positions when the camera angle reverses. From the inside, there's one bar between Kirk's hands. From outside, there are two. (00:28:10)
Continuity mistake: During Spock's Court Martial, Chekov says that General Order 4 is the only exception to Starfleet's no-death-penalty policy, and Sulu and the others agree. However, according to "The Menagerie," that exception is General Order 7, not 4.
For the World is Hollow and I Have Touched the Sky - S3-E8
Continuity mistake: After he falls unconscious onto the blue rug, McCoy's position relative to the rug's top edge keeps changing between shots. (00:36:40)
Continuity mistake: When Kara renders the landing party unconscious, Kirk falls with his arms splayed out to each side. But in close-ups, he has one hand folded over his chest. (00:23:30)
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.
Continuity mistake: The shards of the goblet Spock breaks change quantity and position on the table with the fruit bowl on it. (00:28:30 - 00:31:30)
For the World is Hollow and I Have Touched the Sky - S3-E8
Continuity mistake: Kirk calls Scott to beam up, and lowers the communicator from his face as he looks at McCoy. In the next shot, he's holding it to his mouth once more. The shot changes one more time, and it's lowered again. (00:31:55)
Continuity mistake: During McCoy's struggle with the orderly, only half of the plastic colored bottles strewn on the table are knocked off onto the floor. But when Nurse Chapel hurries over to tranquilize the orderly, the rest of the bottles vanish, leaving the table completely clear. (00:19:10)
Continuity mistake: When Garth forces Kirk to kneel at his feet, Kirk's hands are extended palms down, then palms up, then palms down again as the camera angles change. (00:34:20)
The Empath - S3-E12
Continuity mistake: In the opening scene inside the underground station, the bright blue mat under the viewer desk chair disappears. (00:00:55 - 00:02:30)
And the Children Shall Lead - S3-E4
Continuity mistake: The stardates of Starnes' entries are 5025.3, 5032.4, and 5038.3 But Kirk gives the stardate of when they arrive at the beginning of the episode as 5029.5, so apparently Starnes made two entries after he died.
Continuity mistake: Sulu's hooded viewer is up as he reports that the Defiant is starting to drift. In the next shot, a reverse angle showing the screen, the viewer disappears. This recurs throughout the episode. (00:06:10)
Continuity mistake: Lincoln asks Kirk if they measure time in minutes and Kirk replies "We can convert it." In every previous episode they've always used minutes - their ship chronometers are still set to minutes.
Continuity mistake: The leather strap with which the Troglytes lasso Spock disappears and reappears repeatedly from around his waist and shoulders during the scuffle at the mine entrance. (00:04:30)