I'm going to bet that you are the only person that is going to feel this way. Go home and pick up a history book and you will see how accurate this movie is. There is more to this action movie than just one major fight scene (the one vs. Hector you mentioned), it was the rise of the Greeks and the fall of Troy, so don't look for any Matrix style fights here. War is not pretty, i think the movie portrayed that well.
Also, try to give some reasons on how to fix it (the lady singing wasn't a good reason since 1. it was in tune, so i dont know what you heard; and 2. Lord of the Rings was the same way with the lady singing which you said you liked and came out before Passion). Granted some things were elaborated for hollywood, but really, is there any way you could make it more accurate?
OK first of all this movie was NOT based on History, was based on a story, a VERY LONG ONE at that, which i was forced to read in HS.
2nd of all, the story is NOT as accurate as you may think, so you should pick up the book.
3rd i wasn't looking for a Matrix type fight sceans or special effects, i thought the cynamatography was not great, could have been WAY BETTER.
And the lady singing, i felt was just thrown in randomly in this movie, or the scene that was going on while she was signing didn't flow well.
EDIT: Just read the other post
I agree, maybe would have been better iif the gods were incorporated.
N also i don't mid the director to put their spin on it but i felt his spin could have been better.
I think it wasn't Spectacular
I think the reason i feel this way is because i took a film class, ever sincec then i've neverlooked at movies the same, ain't about the story to me anymore, it's how it's told and it's style. You can tell a realistic story and good one in a good way or bad way, i think Wolfgang choose the bad way.