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 Prince in the Plastic - S7-E3
Other mistake: Brennan finds Angela assembling a child's toy. She asks "what is all this?" and Angela replies "this is a walking toy for my girl." But Angela didn't have a baby girl, she had a baby boy - Michael Staccato Vincent Hodgins. (00:15:00)
The End in the Beginning - S4-E26
Plot hole: We learn that Agent Booth has a brain tumor that has been causing him to hallucinate. One of the hallucinations mentioned was Parker in "The Hero in the Hold." At the end of the episode, Dr. Brennan both sees and speaks to Parker in the cemetery. Agent Booth believed Parker to be a ghost, and we were to believe that Dr. Brennan had unknowingly had a paranormal experience.
Suggested correction: The implication of that episode was that Parker's ghost was real, since Booth points out numerous things he does during his escape that he couldn't have done on his own. Dr. Brennan seeing Parker at the end of the episode confirms this. Dr. Brennan is the only one to posit that Booth's belief that he saw Parker was a hallucination brought on by his brain tumor, because she did not learn who Parker was when talking to him in the cemetery; Booth was looking the other way, all Brennan knew was that a young man walked up to her and said something about enjoying life. Even if she saw a picture of Parker at some later date, she probably wouldn't recognize him.
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.