Yes, there are international organizations that function in a democratic manner. The following are examples:

United Nations (UN)
- The UN is a global organization that works towards promoting peace and cooperation among nations.
- It has a General Assembly where all member states have equal representation and can participate in decision-making processes.
- The UN also has specialized agencies such as the World Health Organization (WHO) and the International Labour Organization (ILO) that operate independently but still report to the General Assembly.

World Trade Organization (WTO)
- The WTO is an international organization that regulates trade between nations.
- It operates on a one-country-one-vote system, which means that each member state has an equal say in decision-making processes.

European Union (EU)
- The EU is a political and economic union of 27 member states located primarily in Europe.
- The EU operates on a system of representative democracy, where citizens elect members of the European Parliament to represent their interests.
- The EU also has a Council of the European Union, which is composed of member state ministers who make decisions on behalf of their respective countries.

International Criminal Court (ICC)
- The ICC is an international tribunal that investigates and tries individuals accused of genocide, crimes against humanity, and war crimes.
- It operates on a system of checks and balances, where judges are elected by member states and the prosecutor is appointed by the judges.

In conclusion, there are international organizations that function in a democratic manner, such as the United Nations, World Trade Organization, European Union, and International Criminal Court. These organizations ensure that all member states have an equal say in decision-making processes and operate on systems of checks and balances.