What great deed did Achilles do?

Achilles is renowned for his pivotal role in the Trojan War, particularly his slaying of the Trojan prince Hector, which is one of the most significant deeds in Greek mythology. This act was both a personal vendetta for the death of his close friend Patroclus and a crucial moment that turned the tide of the war in favor of the Greeks. Achilles' unparalleled strength and martial skill made him a legendary hero, embodying the themes of honor and revenge in Homer's "Iliad."