Continuity mistake: When NCIS is staking out the grocery store in Koreatown and they see Lee Sung answer the phone, the phone instantly switches hands, and the hand that was holding the phone inexplicably appears on top of the phone frame. (00:27:20)
Under Covers - S3-E8
Continuity mistake: When Jenny joins Gibbs and Fornell in MTAC, she puts on a headset and lowers the microphone. In the next shot, she secures the headset and lowers the microphone a second time. (00:28:45)
Continuity mistake: When Gibbs is outside Jenny's house and calls her land line, the folder on her lap is closed, then open, then closed again, without her touching it. (00:23:55)
Continuity mistake: 6.17 - South by Southwest. The first time Tony is talking on the phone to London about his uncle's estate, he is alternately either talking on his cellphone or office phone throughout the conversation. (00:06:15)
Factual error: Obviously written to make the story interesting, but Gibbs says that the first criminal caught by DNA was a Mafia don in Sicily. Well as anyone interested in forensics knows it was Colin Pitchfork in England.
Agent Afloat - S6-E2
Character mistake: McGee seeks Director Vance's permission to hack into the Sea Hawk's computer system. He says that in the past four months, he hasn't worked any crime scenes, etc. This is incorrect, as near the start of the episode, he and Ziva go to an officer's home to advise his wife that he is missing. They discover her murdered and then the team, including McGee, are working the crime scene.
Kill Chain - S11-E12
Character mistake: Ellie Bishop introduces herself to Delilah as Emily Bishop in the elevator scene. Her name's Eleanor in the series, but the actress' real name is Emily. She used her real first name in the scene.
Suggested correction: Ellie correctly says, "I'm Ellie Bishop," when she introduces herself to Delilah. I slowed the speed down to 0.5x to confirm.
Continuity mistake: When Gibbs comes into Abbie's lab, she hands him a blue Fufu drink, it starts in her left hand, at the cut it jumps to her right hand. (00:07:50)
Other mistake: When Director Vance's wife shoots Kai from behind, the bullet passes through her, yet doesn't strike Vance, who is standing directly in front of the North Korean.
Continuity mistake: When Abby and Gibbs determine that the ambulance exploding wasn't an accident, McGee is visible next to Gibbs. He then mysteriously disappears, and a moment later, walks around the ambulance carrying an evidence baggy. (00:08:15)
Plot hole: Season 6, episode 8 ("Cloak"). When Ziva and Tony take the elevator two floors down this takes a full minute. When in a hurry for a call it speeds down, yet for this conversation it (conveniently) took a minute.
Continuity mistake: Episode "Heartland": In the first five minutes of the show, after the guys are beaten up in the alley, when the black guy is laid down on the ground there is a blood stain on The Wall, behind where he was standing. When the other guys go to the white guy's aid the blood stain is gone, for about 3-4 shots. When the NCIS team is there gathering evidence the blood is back on The Wall.
Continuity mistake: While Franks and Gibbs are talking in the diner, Franks' hair goes from being swept back to hanging over his forehead throughout the scene.
Factual error: Throughout the show, skyscrapers are consistently shown. The height of buildings in Washington DC is restricted by the Height of Buildings Act of 1910, and there are no buildings taller than 13 stories.
Visible crew/equipment: At the very start as the woman walks round the car a boom mic dips into view. (00:00:05)
Suggested correction: Please rewatch this scene. It's not a boom mic, it's the vehicle's antenna topper.