Comparing Achilles to Alexander the Great is not an apple to apple comparison. Achilles was a Greek Mythological War Hero while Alexander is a real life Greek Emperor. read more
Some believe that the uncanny parallels between the lives of the (mythic) Achilles and Alexander led the later Greek and Roman historians to exaggerate Alexander's interest in the hero. read more
While Alexander the Great is an accomplished General and ruler, his strength is more in strategy and war, not necessarily single combat. For Achilles, he's down to scrap and again, he's half deity with all the power that comes with that. read more