This paper proposes the five different democracies and their international relations. Democracy literally means that power (kratos) belongs to the common people (demos) instead of dictators and inherited kings-aristocrats. Different types of powers and different types of the common people constitute different types of democracies. Within a democratic nation, the intergroup relation among different social groups can be competitive or cooperative. The most conventional democracy is liberal democracy where power, intergroup relation, and people are liberty, competition, and all people, respectively. The power of the liberty to compete belongs to all people. All people have liberty to compete. Democracies in general are the combinations of different powers (elitism, tradition, liberty, equality, and wellbeing), different intergroup relations (competition and cooperation), and different people (few, most, and all). Therefore, depending on powers, intergroup relations, and people, the five democracies are elite democracy (elitism, competition, few people), nationalist democracy (tradition, competition, most people), liberal democracy (liberty, competition, all people), socialist democracy (equality, competition, all people), and relationalist democracy (wellbeing, cooperation, all people). Different people in different times, cultures, and political situations have different democracies. Each democracy has advantages and deficiencies. The democracies today are mostly mixed democracies to minimize deficiencies. The optimal mixed democracies have competition, cooperation, tradition, liberty, equality, and wellbeing. International relations as international intergroup relations reflect democracies as domestic intergroup politics. Liberal, socialist, and relationalist democracies are for all people, so they can generate cooperative international orders (liberal, socialist, and relationalist) for all nations within their respective democracies. For example, liberal democracy can generate cooperative liberal international order for all liberal democratic nations. Elite democracy and nationalist democracy are not for all people, and are against foreigners, so they can only generate competitive international relation as competitive realism. Peace and prosperity in the world can be maintained by proper international relations.