Continuity: When Odysseus and his men offer the Cyclops cheese, the soldiers with him switch positions between shots.
Revealing mistakes: After Achilles dies, he is laid on the pyre. However when we zoom in on his body, he is still breathing.
Crew or equipment visible: As the soldiers run down the hill as Odysseus yells "Fight, fight, fight!", one can briefly see a crew member with a blue shirt and black sunglasses standing behind them.