Thanks to David from ToDo Series for the following link which contains some continuity issues they found in Episode 5.04 - The Little Prince. These photos are based on the Lostpedia entries.
* When the left-behinds are walking through the jungle to the beach, Juliet's hair starts out in a bun, then when she talks to Miles it is seen with half of it pinned up, and when the survivors notice the hatch light, it is back in a bun again
* When Kate and Jack arrive at the harbour, the Volvo grille emblem is assembled in the cars front. Unlike in previous scene.
* The handwriting on the paper with Kate's address is different when Jack gives it to her and when Sayid finds it on Tony's wallet. 
Source: ToDo Series