The Greek hero famous for his journey home in Homer's "The Odyssey" is Odysseus. His ten-year return from the Trojan War is marked by numerous trials and encounters with mythical beings and divine interventions. Odysseus's cleverness and determination are central themes within the narrative, illustrating the qualities of a true hero. His journey speaks to the challenges of life, loyalty, and the desire for homecoming, making it a timeless tale of adventure and perseverance.