Continuity mistake: In the episode "Untouchable" (Season 3, episode 20), the camera pans across a line of several anime plushies. When the shot then goes wide, several of the plushies have either been re-arranged or removed completely, including a pink plush and the Kyogre plush. It also seems as though there are two Miroku plushies in the scene as well, one near the middle and one off to the side of the left pillow.
Continuity mistake: While Tony and Ziva are outside Ziva's hotel eating pizza, Ziva is eating the pizza in one shot with the slice in the shot, in the shot directly before this and directly after, the pizza is no where to be found and she is no longer chewing.
Continuity mistake: We see Ziva take the photos out and place them on the interrogation table and ask the captain to point out their suspect. We then see the Captain pick up a photo. Camera changes to McGee and Tony behind the glass and we see Ziva getting the photos out and places them on the table again.
Continuity mistake: When inside the Smithsonian, Tony is fooling around with a bear. The baseball hats on all 3 agents have black trim on the brim, then white trim, then black trim. Zeva says her hat has a 9mm hole, and pokes a finger through a hat with a black trim. Gibbs says it is for ventilation. Then she drives home, the hats have white trim, and hers has no hole.
Continuity mistake: When Tony and Abby determine where the car holding Lt. Cmdr Wilkerson hit a pair of railroad tracks, Tony has a napkin tucked into his shirt like a bib. In the next shot, the napkin has disappeared from his shirt, and he is holding it in his hand instead.
Continuity mistake: The year Gibbs joined NCIS is inconsistent. It is revealed in this episode that he joined the NIS in 1992, the same year it became NCIS. But in the JAG crossover episode "Ice Queen", Gibbs tells Commander Rabb that he has been an agent for 19 years, which suggests that Gibbs joined NIS in 1984. And in "Singled Out" in season 4, McGee mentions that Gibbs has been an agent for roughly 16 years, which would put Gibbs' joining NIS in 1990.
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Continuity mistake: In the scene where Chip first brings the evidence to Abby (after getting it from Mr. Palmer), in one shot, her spiderweb tattoo is on the right side of her neck, and Chip is standing to her right. In the next shot, her tattoo is on the left side of her neck, as it normally is, and Chip is standing to her left.