the United States has never has a "third party system." Occasionally a strong third party has "disrupted" the established two-party system.
Democratic party and Republican party
The Igbo political system was decentralized and based on a system of autonomous villages with democratic decision-making processes. Leadership was often based on merit, with elders and titled men making important decisions through consensus. The Yoruba political system was more centralized, with a system of monarchs ruling over city-states and regional councils of chiefs assisting in governance. The Oba (king) held significant power and authority, and leadership positions were often hereditary within ruling families.
Actually George Washington was extremely against the use of the political system. Washington himself didn't involve himself in a political party and in his farewell address, he warned against the political party system and stressed that the United States should stay neutral in order to survive.
The Joseph Morris system
Political rights are protection against pluralism. Pluralism is a system in which two groups can co-exist and live together in peaceful harmony.
Monarchy.
George Washington considered himself an independent, and believed that political parties would ruin the political system of the United States. Clearly, no one listened.
Feudalism
He Spoke out against the American party system.
Authoritarian monarchy with elected Parliament
During the Middle Ages , it was common for Nobles to grant use of land in exchange for goods. Feudalism is the name for this political system.
The Continental System which was Economic warfare against the United Kingdom.