
House of the Rising Sun - S1-E6
Continuity mistake: Charlie breaks the beehive with 1 foot in the first shot and 2 feet in the second shot. (00:12:10)

House of the Rising Sun - S1-E6
Continuity mistake: When we first see a closeup of Charlie's feet on the beehive he is stood on the actual hive. However the next time we see his feet a few minutes later he's to the side of it so Jack can place the suitcase over it. (00:08:20 - 00:11:50)

House of the Rising Sun - S1-E6
Continuity mistake: Just before Locke, Kate, Charlie and Jack head off to the cave for water, the strap on Charlie's holdall flips without anyone touching it. Note the metal clip on the strap that is visible in the first shot and not in the second. (00:02:50)

House of the Rising Sun - S1-E6
Visible crew/equipment: We see Sun open her eyes after the 'previously' segment and a large white screen is reflected in her eyes. (00:01:30)

White Rabbit - S1-E5
Continuity mistake: Just after Charlie gives Claire some water, her arm is across her belly. Camera cuts and she puts it there again. (00:22:15)

White Rabbit - S1-E5
Continuity mistake: When Kate revives Claire, Claire's hair is constantly changing positions between instant cuts. Most noticeably when Kate says she needs water, Claire has hair covering her ear then it's tucked behind her ear. (00:17:00)

White Rabbit - S1-E5
Continuity mistake: When Claire and Kate are talking while sorting the clothes out, Claire picks up a hat and has it in her hands. Camera cuts and now she is wearing the hat. (00:09:00)

White Rabbit - S1-E5
Continuity mistake: When we see Walt cleaning his teeth, the position of his cup changes in his hand. Note the handle. (00:05:35)

White Rabbit - S1-E5
Visible crew/equipment: In the very first scene, little Jack opens his eyes, reflecting the crew. (00:00:05)

White Rabbit - S1-E5
Continuity mistake: When Jack discovers the coffin, there is a very small flame left on his stick. Camera cuts and the amount of flames has increased massively. (00:34:20)

Tabula Rasa - S1-E3
Continuity mistake: In the "previously, on Lost" segment, we see Locke talking to Walt and he has a cut over his right eye that is straight. We we see Locke as Siyaid is explaining about gathering electronic equipment, There is now a curve to his cut. (00:00:25 - 00:09:15)
Answer: He was eating a peice of an orange with the skin still on.
XIII