The famous leader known for his role in the Non-Aligned Movement during the Cold War was Josip Broz Tito. As the leader of Yugoslavia, Tito advocated for a stance of neutrality, rejecting both Western and Eastern blocs' influence during the geopolitical tensions of the time. His leadership helped form a coalition of countries that sought to remain independent from the dominant superpowers, demonstrating the complexities of international relations during the mid-20th century.