The Final Chapter: The Flaw in the Saw - S12-E6
Revealing mistake: At the very end we see Bones and Booth on the rolling log. In the front view the log is obscured from shot however it's clear from the motions of Booth and particularly Bones that they are stood on level ground, mimicking the actions of being on the log. (00:41:00)
Continuity mistake: When Booth has the face off with the US Marshall's the van door is shut then opens itself. (00:10:00)
The Woman at the Airport - S1-E10
Continuity mistake: When looking at the pict (ancient warrior), the camera is panning and the hologram is spinning. However the way the pict is facing is randomly changing. Not a simple rotation. (00:18:00)
The Woman at the Airport - S1-E10
Continuity mistake: Booth congratulates Bones on the correct use of the word punt. He has a finger raised pointing at Bones. Camera cuts and now his hands are clasped. (00:01:00)
The Man in the Fallout Shelter - S1-E9
Continuity mistake: Booth reaches out to touch the glass and Parker's hand. In the first shot his hand is spread out, in the second his fingers are a lot closer together. (00:25:10)
The Man in the Fallout Shelter - S1-E9
Continuity mistake: When Bones is explaining to Booth about the birth of Christ, Booth has 2 hands on his chin. When the angle changes, he has one hand on the table and one on the side of his head. (00:13:00)
The Man in the Fallout Shelter - S1-E9
Continuity mistake: Booth sits down with bones and takes Angela's hat off. It's still in his hand in one shot and gone the next. (00:12:50)
The Girl in the Fridge - S1-E8
Continuity mistake: When talking to the doctor, he has a pen on the notes in front of him. When the scene ends, the pen has gone. (00:13:05)
The Girl in the Fridge - S1-E8
Visible crew/equipment: When Bones says about her professor wanting to see the equipment there is a tape marker visible on the floor under the remains. (00:09:20)
Continuity mistake: When interviewing Rulz, his jacket is open with the left (screen right) lapel over the of the right (screen left) lapel. During the interview they keep swapping places. (00:33:20)
Visible crew/equipment: When Bones starts the interrogation with Rulz, you can see a shadow moves over Rulz' lower body despite no one moving. (00:32:55)
Continuity mistake: When Booth is showing the belly button ring to Rulz, he holds the bag with the ring on the right side of the bag. Camera cuts and now it's on the left. (00:17:20)
Continuity mistake: When the mummy is discovered in the wall the mouth is closed shut. When the mummy is in the lab the mouth is open. (00:04:30)
Continuity mistake: At the very start Bones is holding the microphone and its pointing towards her. Next shot, Dr Goodman has the microphone pointing at him. (00:00:40)
The Murder of the Meninist - S11-E12
Other mistake: Cam is burning a pork human analogue which is alight with flames. When the analogue explodes and covers Hodgins in meat, he is not burnt by the searing meat. (00:27:25)
The Brother in the Basement - S11-E2
Other mistake: Dr Brennan barges into the interrogation at the end of the episode. Aubrey exclaims out "Dr. Brennan" however, he exclaims before he has seen who it is. (00:33:10)
The Drama in the Queen - S9-E23
Factual error: The IP address shown is not possible. IP addresses are always XXX.XXX.XXX.XXX however we are shown an extra set of digits making it XXX.XXX.XXX.XXX.XXX.
The Doom in the Boom - S11-E10
Plot hole: Dr. Vizeri leaves the Jeffersonian months prior to this episode (confirmed in the episode) however, after turning up unannounced he still has his work jacket. It is unlikely his jacket would still be there. (00:20:05)
Suggested correction: It is not unreasonable to assume it was simply put into storage rather than being thrown away. It was perfectly usable and could have been used by another member of staff if theirs was unavailable.
I've forgotten the exact circumstances of Dr. Vizeri's departure, but the Jeffersonian probably would not have a policy that required personalized work clothing to be returned. Dr. Vizeri indicates in the episode that it had been his strong desire to return ever since his departure, so it is likely that he would have retained the garment for practical, or at least sentimental reasons.
The Skull in the Desert - S1-E17
Revealing mistake: When they find the body of Joesph, you can see him breathing despite him being dead. (00:15:50)
Suggested correction: Joseph is not dead, he's just beat up.