The hero known for his domestic adventures in Homer's "Odyssey" is Odysseus. His journey home after the Trojan War is marked by trials, temptations, and the support of various gods, notably Athena. The narrative explores themes of loyalty, cunning, and the struggle for identity. Odysseus faces mythical creatures, divine challenges, and moral dilemmas that test his character and resilience. The story not only illustrates his adventures but also highlights the importance of homecoming and the bonds of family and community.