
Man of Science, Man of Faith - S2-E1
Visible crew/equipment: Just as Sawyer's raft falls apart, we get a shot of Michael on his raft. In this shot, a wire holding his raft in place is visible at an angle in the water. (00:21:00)

Man of Science, Man of Faith - S2-E1
Revealing mistake: When Michael and Sawyer are on the raft and they hear the knocking on the raft, you can see the cable holding the raft in place descending to the floor. (00:10:30)

Exodus (1) - S1-E23
Visible crew/equipment: When Michael tells people to push the raft, a crew member with a white shirt and camera is visible clear as day by the bushes on the beach. (00:07:50)

Continuity mistake: When Claire puts up the drapes, one is caught on a plant. When Thomas walks over to the drapes, it's not caught anymore. Neither Thomas nor Claire have been near the drapes during this time. (00:16:50)

Continuity mistake: Kate says she looked at the envelope of the letter - the camera shows a closeup of the envelope which on the right hand side of the crest has no creases and just 1 barely visible fold. When Sawyer goes to snatch it back, the envelope is already creased significantly. (00:33:55 - 00:35:35)

Homecoming - S1-E15
Continuity mistake: At the end of Jack's fight, Ethan has 5 blood trails on his face that disappear briefly. (00:34:00)

Homecoming - S1-E15
Continuity mistake: During the fight between Ethan and Jack you can see as Ethan rams Jack against the tree, his tattoo has switched sides. (00:33:20)

Homecoming - S1-E15
Continuity mistake: When Boone runs into the jungle in daylight he holds his stick at an angle pointing up. We then see a closeup shot of his hands holding the stick and it's horizontal. (00:21:00)

Homecoming - S1-E15
Continuity mistake: When Charlie examines the snuffbox, its position rotates 90°. (00:14:20)

Homecoming - S1-E15
Continuity mistake: When Charlie is talking to Claire explaining where she sleeps etc, Claire's hair is constantly switching between tucked behind her ear and hanging free without her touching it. (00:05:00)

Continuity mistake: When Shannon dies, Boone has his right hand on her chin. Camera changes and now it's by her ear. (00:37:40)
Answer: He was eating a peice of an orange with the skin still on.
XIII