These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
A number of scholars have argued that The Iliad was actually the tragedy of Hector, not Achilles. The story is considerably more sympathetic to the Trojans than the Greeks, Achilles never meets his tragic fate (and in fact finds partial redemption at the end), and most convincing of all, the narrative ends on Hector's death and funeral.
Hilarious in Hindsight: With Achilles' trademark finisher resembling a certain leaping assassination technique from a certain video game series and at least three of the Greco-Roman gods comprising the First Civilization, maybe Achilles was really an Assassin.
The fact that this is one of the few movies where Sean Bean's character (Odysseus) doesn't die, a movie where over half the named cast members die, ranks up there as well.
A major plot point is Achilles getting sick of being at Agamemnon's beck and call. Which happens every week in the first season of Danball Senki.
Moral Event Horizon: Practically every Greek solider, save Achilles and Odysseus, crosses it when they sack Troy in the Director's Cut.
Values Dissonance comes into it again. If you were a lowly paid Greek soldier, spent weeks sick at sea, watched over 10,000 of your friends die in front of you, lost your Kings, captains and champions and forced was forced to hide, sacking a city is the only release and revenge you can get.
If Agamemnon hadn't already crossed it, "I gave her to the men!" made him sail over it like he was launched from a cannon.
Narm: Where to start? Brad Pitt's accent seems a likely place.
Hector descending to fight Achilles. We all know how well that was going to turn out for him.
Hector showing his wife Andromache the escape tunnels beneath the city in case Troy is sacked and Hector dies. Made worse by the fact that some versions of the myth do not end well for Andromache.
Hector's face in every single scene. Man knows they're on a slippery slope to hell five minutes into the film but he can't DO anything about it (without dooming Paris) and that realization makes his entire performance just heartbreaking.
Priam asking for his Hector's body back especially this...
Priam: "You're still my enemy tonight. But even enemies can show respect."