The Hole in the Heart - S6-E22
Continuity mistake: In the port scene, just as Broadsky is getting ready to shoot Booth for the first time, Booth is constantly swapping from behind a blue container to a red container and is multiple times running to a blue container. However, there is only one blue container. (00:35:30)
The Hole in the Heart - S6-E22
Continuity mistake: In the diner at the start, when Bones is saying how it is personal, Booth has his hand up on his chin in the background. When the shot changes, his arm is lowered. (00:01:44)
The Pinocchio in the Planter - S6-E20
Continuity mistake: When Booth and Bones are in the diner talking about the liars, Booth goes from having a fork in his hand to not having one and vice versa many times. (00:22:03)
The Truth in the Myth - S6-E18
Continuity mistake: Near the end, Booth holds up the bullet in a bag. The bullet keeps swapping places in the bag between shots. (00:38:50)
The Killer in the Crosshairs - S6-E15
Continuity mistake: At the start, pay attention to the cable for Bones headphones. The position of the cable on her shoulders is constantly changing between camera angles. (00:01:30)
The Parts in the Sum of the Whole - S5-E16
Continuity mistake: In this episode, Booth and Bones are telling Sweets about their "real first case" together - the case where they actually met for the first time. During this episode, Booth, Bones, and Angela take some evidence to Caroline, and Booth introduces them both (most importantly Brennan) to Caroline. However, in season 1, episode 19, "The Man in the Morgue", (which would have taken place after this initial first meeting) when Brennan is accused of murder in New Orleans, Booth has Caroline fly to NOLA to be Brennan's lawyer, and he introduces the two of them. If they had already been introduced during the first case Booth and Brennan worked on together, they would not have needed to be introduced here; they would have already known one another.
The Beautiful Day in the Neighborhood - S5-E4
Factual error: Near the end, the gang is using Luminol to check for blood on neighbourhood signs. Luminol won't work in broad daylight, they should have used a blue light filtering lens to enhance its visibility.
Harbingers in a Fountain - S5-E1
Continuity mistake: Bones gets stabbed with a scalpel in her arm and it's bleeding profusely. However the next day she has a short sleeve top on and there is no mark or bandage on her arm. (00:30:50)
Continuity mistake: At the funeral, Bones places a rose on top of several other roses on the coffin of the murder victim. When the victim's parents approach the coffin to place their rose on it, most of the roses have vanished. (00:39:05)
Factual error: The Roswell, New Mexico sheriff forces Bones to examine the body because it was found in his jurisdiction. But later in the episode, we learn that the body was found 2 kilometers from the border of Mexico. Roswell is not even in a county on the border of New Mexico much less one that borders Mexico. In fact the closest border to Roswell between the US and Mexico would be in Texas - hours drive away. The Roswell sheriff would have no jurisdiction.
The Man in the Fallout Shelter - S1-E9
Character mistake: Hodgins is talking to Bones and says something about Goodman not being able to see his family and Zach not being able to see his kids. Goodman has kids, Zach was going to visit his family, not the other way around.
Suggested correction: With Zack's kids, Hodgins was referring to the 40 cousins and nephews that Zack has, and sees every Christmas.
The Man in the Fallout Shelter - S1-E9
Plot hole: At first the victim (Careful Lionel) is described as not returning to pick up his new shirt in November 1958, and possessing love letters dated from 1957 through early winter (November) 1958. Booth reports the fallout shelter where Lionel's body was discovered was sealed in 1958. Later Lionel is described as reported missing by his boss in January 1960, and the illegitimate child he fathered was born in 1960 as well. That would mean his boss didn't notice he was gone for over a year, and his pregnant girlfriend was with child for at least 14 months.
Factual error: In the opening shot of the episode they show a plane landing at an airport, and it says Dulles International Airport on the screen. There is even a nice shot of the US Capitol building in the background, the problem is that Dulles Airport is about 25 miles from Washington, if the shot is real it was filmed at Reagan National Airport. (00:00:10)
The Critic in the Cabernet - S4-E25
Factual error: Temperance Brennan is examining the bones of the victim and mentions she wants to have a baby. She starts examining the tibia, mentions the she wants to have a baby, then says "capitulum" while still looking at the tibia. In actuality, the capitulum is on the distal epiphysis of the humerus, not the tibia. (00:06:25)
The Boy with the Answer - S5-E21
Continuity mistake: As Booth hugs Brennan in her apartment, her head switches shoulders each time the camera changes angle.
The Boy with the Answer - S5-E21
Continuity mistake: It is the evidentiary hearing, all characters are put on the witness stand so you get to see what all of them are wearing. The trial starts the next day and lasts at least three days, but when they are in court at the end of the trial for the reading of the verdict for the gravedigger they all have the exact same outfits on as the day of the evidentiary hearing.
Plot hole: Angela comes into the autopsy room to inform Hodgins and Cam that Brennan is awake. Cam says that Brennan said the entry wound was cold and Hodgins comes up with the ice bullet theory. But how did Cam know what Brennan said about the cold if she didn't already know Brennan was awake?
Suggested correction: Bones told Booth that the entry wound was cold when she woke up. It's only fair to assume that Booth called Cam and told her.
But then, Cam would know Brennan was awake making the whole point of Angela coming in to tell them pointless. Plus with Cam knowing Brennan is awake, why would she not tell Hodgins?
I'm rewatching and have been looking for an answer as well. I think it's just a continuity error. If Booth told Cam, she would've told Hodgins, and when Angela walks in to ask if they made any progress, Cam would also tell her. Having Angela tell both Cam and Hodgins that Booth told her, then seeing them relieved and having Cam mention Brennan saying the shot was cold makes no sense other than they wanted to keep it as a dialogue instead of a monologue. Which makes it a pure error.
The Skull in the Desert - S1-E17
Continuity mistake: During the scene when Booth and Bones are driving to tell Angela that her boyfriend is dead, the scenery behind Booth jumps suddenly mid shot. Initially the scene is of a wide plain, then suddenly a mountain range appears. This scene was obviously shot on a sound stage, with the scenic background being projected onto screens around the vehicle, an old trick in movie making. It seems that somebody mistimed the loop of the tape they were using. (00:12:30)
The Graft in the Girl - S1-E20
Continuity mistake: When Angela asks to see the girl's drawing, in the shot from the girl's perspective as she hands the pad over, the painting's quite small in the centre of the page. When it then cuts to Angela's point of view it takes up nearly the whole page. (00:02:45)
Other mistake: Hodges and Angie find a piece of paper buried with Bones' mother and they tell Bones that the date of the movie is September 22, 1993. The ticket has two dates, September 22, 1993 and in two different places it says April 22, 1993. The Fugitive was released August 6th, 1993.