The Greater Good (a.k.a. Sides) - S1-E21
Continuity mistake: Charlie, Sawyer and Kate restrain Jack at the funeral, and Kate has her hands on his chest. Camera cuts, and she's now a few steps away from Jack. (00:09:30)
House of the Rising Sun - S1-E6
Revealing mistake: When Charlie is stood on the bee hive, all the bees are clearly CGI. (00:10:00)
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