Continuity mistake: At the diner, before Mrs. Duncan comes to confess about murdering her husband, Brennan takes a sip of tea. Her glass at this point is less than half full. When Mrs. Duncan walks in, the same glass is now almost full.
Visible crew/equipment: After the press conference, while Emily, Rossi, and Derek are standing beside the SUV, when Captain Lancaster walks over to them we can see the four chalk T-marks on the ground where they all stand.
Continuity mistake: When Charlie is in his office talking to Larry, while going over the potential killers and victims, he writes the word "Killers" on the board and circles it. Then, when Charlie notices that Larry has left and says "gone", the writing is different. The 'k' is wider, and most noticeably, the left side of the circle is gone, and the loop in his 's' disappears. Once Charlie goes back to working, the word changes back to how it was originally written. (00:38:20)
Bloody Mary - S1-E5
Continuity mistake: When Sam is looking at the mirrors with night vision, we see him pause and say to Dean "Look at this." The camera then cuts to an extreme closeup of the camcorder screen and the image on the screen is different to what was on there before. (00:18:15)
Continuity mistake: At the end when they are confronting Harmony, they pick up the water glass for DNA testing. In the next shot over her shoulder, the glass is still on the table. (00:36:55 - 00:38:09)
Visible crew/equipment: Just before Chief Johnson and Sgt. Gabriel get out of the car at the victim's parents' house, a crew member and lighting equipments are reflected in his sunglasses. (00:07:20)