The famous Greek hero renowned for his cunning during the Trojan War is Odysseus. Known for his intelligence and strategic thinking, he devised the cunning Trojan Horse plan that led to the fall of Troy. His journey home afterwards, chronicled in The Odyssey, highlights his heroic adventures, struggles against monsters, and encounters with divine beings. Odysseus embodies the archetypal hero, blending physical prowess with wit and resourcefulness, which makes him a captivating figure in mythology.