Deliberate "mistake": There is one scene in the movie where Heath Ledger reads a Latin sentence in a book. As he is translating the sentence, he goes over the words one by one with his finger. This would never be possible in a Latin sentence, because words in Latin are never - I repeat: never - in exactly the same order as in English. Words that actually belong together can be placed on opposite ends of a sentence.

Continuity: In the scene where Heath Ledger and his priest friend receive the dagger from the head of the Order that supposedly kills the Sin Eater, the head priest sets the dagger on the table between the 2 priests with the handle of the dagger facing Heath. The shot then moves from one side of the table to the other side showing different angles of the conversation, in each shot the dagger is no longer facing Heath but the other priest. But in the next shot is is, and so on for about 8 shots.