Continuity: The state of Mary Magdalene's robe when confronted by Jesus at the beginning.
Boom mic visible: In the market when Saul pulls Judas aside and asks "what are you doing with this magician?", the shadow of the boom mic is visible on the stone above Saul's head.
Crew or equipment visible: Camera shadow is cast over Jesus and other characters just before he is baptized by John The Baptist.
Anachronisms: When the first man is being crucified, as he yells when the soldier nails his hand, we can see a lot of metal fillings in his upper teeth.