Continuity mistake: When Charlie leaves his seat on the airplane, as he is followed by the stewards, he walks through economy (blue stripe seats), then walks through business class (grey stripe seats and roomier) - where Boone and Shannon sit. But, in Charlie's next close-up, when the plane shakes, he leans on the blue seat in front of him, which he already passed and is farther back in the plane's cabin.
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Revealing mistake: On their way back to the hatch with the dynamite, Kate, Jack and Hurley run from the "monster" but Locke runs toward it. When he lands on his back the shot cuts away to the "Lost" logo floating onscreen. When it cuts back to Locke, in this shot the bruise is over his right eye, instead of his left. The shot is flipped.
Visible crew/equipment: When Charlie and his brother are arguing backstage, as his brother rushes out shouting "P*ss off," you can see a crew member move in the mirror on the left and the right side. If you watch closely you can see the producers tried blurring the mirrors, but still they weren't able to remove the crew member.
Continuity mistake: Some passenger seats from the wreckage, that are seen in various shots on the island here and in other episodes, are not the same seats shown in the interior shots of the plane. There are three distinct colors/styles of passenger seating in the interior shots, blue stripe in economy, grey stripe in business class, and also greyish leather in first class, which didn't end up on the beach anyway.
Continuity mistake: When Sawyer asks of Boone, "So how does it feel?" Boone sits with his knees up and his arms crossed over his knees, but in Boone's close-up he sits normally with legs down, arms uncrossed. Then, as Sawyer walks away Boone sits just as in the first shot.
Revealing mistake: When Kate is with Ray in his pickup, he wears his wedding band on his left hand, and his right arm is prosthetic. After the wreck, when Kate pulls him from the cab and onto the grass, he wears his ring on his right hand, the door and Kate's bracelet are also on the wrong side - obviously a flipped shot.
Continuity mistake: When Claire visits the psychic for the second time, she is seen giving him AUS $100 (1 $50 note (yellow note) two $20 notes (red notes), and one $10 note (blue note)) but after the session she asks for her $200 back ($100 notes are green, and there is no sign of any green notes).
Continuity mistake: When Ray and Kate are in the pickup, in the shot facing the oncoming vehicle as it beeps, Ray is driving in his right lane. In the next shot, whilst the vehicle still beeps, as the marshal pulls behind Ray, the marshal and Ray are both driving in their left lane. However, in the next shot, facing the beeping vehicle, Ray is driving in his right lane and then starts to pull over to his left.
Continuity mistake: After Locke whispers to Michael, "I thought you should be the one to bring his dog back to him," when Locke points in the wide shot, Walt, who is sleeping on his stomach, has his head facing away from Michael. But when Michael says, "Hey thanks," Walt's head faces the opposite way towards Michael, and in the next shot he faces away again.
Revealing mistake: After Sayid stabs Sawyer, in the wideshot when Jack pushes Sayid away, as Sawyer lies with his right arm outstretched the knife is nowhere to be seen. In the next close-up, the large, long-handled knife is protruding from Sawyer's upper arm at about a 90º angle. Given the angle and position of the knife, it should have been seen in the previous shot.
Revealing mistake: After Sawyer has been shot with the syringe thing (I'm not sure if Kate had been shot yet) Jack fires his gun five or six times into the jungle. The last few times he fires it there is no flash or any indication that the gun has been fired.