Conan (2011)Vs Achilles
We have the scene where Achilles kills a dozen soldiers whilst sprinting past arrow hail, then decapitating a bronze statue, then making an "impossible" throw killing a man with his spear...after that there is no reason to doubt he couldn't have killed Hector with some difficulty and won the war for Aggamenon. There were warriors physically stronger than him, Ajax and Boagrius, and he could probably kill them all the same. Just wasn't in the same realm of any other warrior.
As with Conan he had moments of super strength, like when he pulled the incredibly heavy chain and knocked out a horse. He beat guys bigger and almost as strong as him, but they were a lot heavier. He won a fight against inhuman creatures before being paralyzed by a poisoned dagger whilst fighting a very very dangerous warrior, and he put up a hell of a fight. Later he beat that same man in a awesome display of technical skill. Though he did slug through other fights before that final fight, kinda like Hector vs Ajax, Achilles never really slugged through a fight - Achilles ususally dominated. :/
Achilles has upgraded to Conan age weaponry, that means steel. They both have their full set. Conan with a shield, because that blade he used should be more capable wielded one handed along with a shield. Achilles has no spear this time.