Continuity mistake: They keep showing the aerial view of one type of jet (such as Gulfstream 100 with its rectangular windows), but the inside shots are always in a "heavy" Gulfstream (such as Gulfstream IV or Gulfstream V, which have round windows). Also, the tail numbers (the N-numbers written on the engine) are always different in the aerial views. Some end with GV, some with SP etc.
Continuity mistake: Morgan gets a call from BAU and we see him holding his phone in one hand then two. (00:03:40)
Continuity mistake: When Gideon is talking when we first see him, the pictures behind him on the screen change instantly. It should be noted, that when we see the pictures change, there is the audible click and visual delay of a slide change which is not present on the instant change. (00:04:20)
Continuity mistake: At the start we see Spencer explaining to Gideon about the Boston Strangler, his orange shirt is untucked at the front with both sides of his shirt being visible. Camera shows Gideon walking off and now only 1 side of his shirt is untucked. (00:05:10)
Character mistake: Morgan asks Reid what track on the CD (Some Kind of Monster by Metallica) would help an insomniac sleep. Reid replies with "Enter Sandman" however, Some Kind of Monster doesn't feature the song Enter Sandman. (00:29:00)
Suggested correction: Morgan doesn't ask what song on that album would speak to an insomniac, he asks what Metallica song in general would. He says, and I quote, "Okay, so I'm an insomniac who listens to Metallica to get to sleep. What song could possibly speak to me?" His query is in regards to the band's discography as a whole; neither he nor Reid mention a specific album, so the fact that "Some Kind of Monster" is the CD that they find is, ultimately, irrelevant.
The team was looking for what CD Slessman listened to the most to figure out what his password could be. They had no luck going through all his metal collection. The clue was suppose to be Slessman listened to "Some Kind of Monster" CD the most to help him sleep, which is why it wasn't in the case.
Compulsion - S1-E2
Continuity mistake: When Gideon profiles the campus patroler, the necklace's position changes on his shirt between the close and long shot. (00:17:40)
Won't Get Fooled Again - S1-E3
Continuity mistake: When in the house and the victim's wife comes in, Hotch returns his ID to his pocket twice. (00:08:00)
Won't Get Fooled Again - S1-E3
Audio problem: The video game Penelope is playing is supposed to be Tetris, but the sound effects are from the Atari 2600 version of Pac-Man. You can hear Pac-Man die four times during the scene. (00:12:20)
Won't Get Fooled Again - S1-E3
Continuity mistake: When talking to Bale in jail and negotiating a transfer deal, his handcuffs disappear and reappear between shots. (00:35:05)
Won't Get Fooled Again - S1-E3
Other mistake: Just after they were finished explaining that you can not tilt the mystery package because it would instantly blow up, they show the little girl at her doorstep holding the package completely tilted. Just when you think that means that this package now doesn't fall into the "explosive" category, they then show the mom freaking out, and later police making the girl hold the package in a completely different (non-tilted) position.
Plain Sight - S1-E4
Continuity mistake: At the very end on the plane, Gideon gives Reid the two tickets as his birthday present. In the shot facing Reid, he holds the tickets facing himself. In the reverse shot, the tickets now face Gideon. (00:39:30)
Plain Sight - S1-E4
Visible crew/equipment: When the BAU are presenting their profile of the unsub, the actor's T-mark is visible on the floor in the shots facing Captain Griffith, who's sitting on the desk, when Gideon takes a seat on the chair.
Visible crew/equipment: After the three people at the restaurant patio are shot it cuts to the black screen, and in the next shot as the camera pans over the blood stained table, the red T-mark is visible on the ground in front of Gideon's feet. (00:13:15)
Audio problem: As Scott McCarty is shot there is no sound of a shot being fired, suggesting a silencer, however as the assailant's rifle is pulled inside the car you can see that the weapon has no silencer.
Continuity mistake: Before the BAU catches the serial killer Carl Arnold, they used a heat sensor and it shows five people sitting at a table. They said there were three adults and two kids, but when they break in the house, the mother and one kid were sitting at the table, the father was tied up nearby, and Carl Arnold and the other child were in the basement. They were found by Derek Morgan right before Carl Arnold threw the child at Gideon, who fortunately caught him.
Continuity mistake: When Morgan finds the Glock 19, his grip on the clip changes between angles. (00:14:30)
Revealing mistake: Just as Vincent gets tazered, you can see protective padding that he is wearing. This is not to be confused with his jacket. (00:25:10)
Factual error: The train car in which Elle and the other passengers are held hostage is supposed to be an Amtrak type long distance railroad car traveling from El Paso to Dallas, yet on the inside of the car we can see a large poster showing the Washington, DC Metro system map.