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)
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)

Tabula Rasa - S1-E3
Continuity mistake: When Ray's pickup truck swerves off the road, it flips and the tailgate completely breaks off, yet in the following shots the bright red tailgate remains intact. (00:30:45)
House of the Rising Sun - S1-E6
[While fleeing from an angry swarm, Kate takes her shirt off as insects are trapped in it. Charlie later finds her and hands her the shirt she dropped with a questioning look.]
Kate: It was full of bees.
Charlie: [Looking at her chest.] I'd say more like C's.
The End (1) - S6-E17
Trivia: The Oceanic employee delivering Jack's father's body has a name visible on his navy blue overall - it is Bocklin - Arnold Bocklin is an artist famous for painting "Isle of the Dead" in 1880. (00:04:00)
Answer: He was eating a peice of an orange with the skin still on.
XIII