The hero from Greek mythology known for his battles against the Trojans and later wandering adventures is Odysseus. He played a key role in the Trojan War and is celebrated for his cleverness, particularly in devising the strategy of the Trojan Horse. After the war, Odysseus embarked on a long journey home, chronicled in Homer's epic, the Odyssey. His adventures include encounters with mythical beings and trials that test his wit and resilience, representing the heroic archetype in ancient lore.