Two Bodies in the Lab - S1-E15
Continuity mistake: Booth, Hodgins, and the police are gathered outside the abandoned building and are discussing tactics. Booth has a medal around his neck. It pops in and out of his jacket between shots. (00:37:00)
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.
Factual error: When Angela is running her computer model of the victims' chase behind the wall in the club, she says it "got tight in there - 15 centimetres." 15cm is 6 inches. It isn't possible that a grown adult could pass through a path that narrow - it would have to be at least twice that, just to breathe in & out. (00:24:50)