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.
The Empath - S3-E12
Revealing mistake: When the Vian fires his weapon at Kirk after the crew finds Gem, Kirk flies backwards. At this point, Kirk is not William Shatner but a stunt double.
The Empath - S3-E12
Plot hole: Spock calculates that it will take 72 hours for the solar flare to pass, and Kirk orders the Enterprise out of the area. 3 days is a long time to go without food or water, and as the station is deserted as far as they know, there'd be no way to supply themselves, but the Enterprise leaves without a second thought.
Continuity mistake: When Elaan visits engineering, the close-up shots of Scotty show a security guard wearing a black utility belt standing in the background. But the man is missing in all the full shots. (00:13:15)
Character mistake: Elaan says "If I have to stay here for ten light-years..." A light year is a measure of distance. (00:24:03)
Revealing mistake: During the battle scene, the use of special effects stock footage of the view screen, as seen over the helm from the opposite side of the bridge, briefly turns the short, brunette Ensign Chekov into a tall, thin blond guy. (00:44:20)
Factual error: Spock says the Klingon ship is approaching at Warp Six, but Sulu counts off the distance at about 50,000 kilometers per second - that isn't even the speed of light.
Continuity mistake: As Kirk wipes a tear from Elaan's face, both cheeks are wet. A second later, both cheeks are dry.
Audio problem: Just as Garth brings Spock back and releases Kirk from the cell, "inviting" them to dinner, there's an odd buzzing/rattling noise in the audio that shouldn't be there. (00:11:30)
Continuity mistake: After Marta's dance, Kirk and Spock are sitting an inch apart behind the table, then a foot apart, then an inch again and so forth every time the shot changes. (00:16:25)
Revealing mistake: When Marta kisses Kirk, her hands leave green make-up smeared all over the left shoulder and back of his uniform tunic. (00:22:05)
Continuity mistake: As Garth brings in the chair and orders the governor's torture, the pedestal fruit bowl on the table in front of Kirk keeps moving back and forth in relation to him and to the wine pitcher. (00:22:40)
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)
Continuity mistake: When Scott orders Sulu to fire phasers to punch through the force field, the two phaser beams are diverging when they leave the ship, but converging somehow (space mirrors?) when they strike the planet. (00:41:20)
Other mistake: At the end, Kirk teases Spock twice specifically about letting himself be hit on the head in order to determine which Kirk was genuine. But the phony Kirk never hit Spock on the head. He merely pushed Spock over and attacked the real Kirk. Clearly, the action sequence wound up differing from the scripted dialogue, and no one noticed. (Also clearly, Kirk is not speaking metaphorically here.) (00:45:30 - 00:49:20)
Other mistake: The only way to beam up to the ship is to repeat the chess counter move after ASKING to be beamed aboard. After the two Captain Kirks fight ends with Spock stunning Garth with the phaser, Spock contacts the Enterprise. After saying "Spock to Enterprise, and hearing Scotty say back to him "Scott here", Scotty says" Queen to Queen's level 3" without Spock requesting to be beamed aboard or even waiting to see what Spock wanted in the first place. (00:46:56)
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 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?
Let That Be Your Last Battlefield - S3-E15
Revealing mistake: Because stock special effects footage was used, the shuttle supposedly "stolen from Starbase 4 two weeks ago" is plainly marked "Galileo, NCC 1701/7, USS Enterprise." (00:02:15)
Let That Be Your Last Battlefield - S3-E15
Revealing mistake: Due to the use of stock footage once again, Sulu's console viewer appears and disappears repeatedly throughout the episode. (00:08:45)