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- anarchy—rule by none
- andrarchy—rule by men
- cryptarchy—secret rule
- ecclesiarchy—rule by a church
- exarchy—rule by a bishop or bishops
- gynarchy—rule by women
- hierarchy—rule by priests
- kritarchy—rule by a judge or judges
- matriarchy—rule by mothers or women
- minarchy—minimization of rule
- monarchy, autarchy—rule by one
- oligarchy—rule by a few
- paedarchy—rule by children
- panarchy—universal rule
- pantarchy—rule by all
- paparchy—rule by a pope
- parsonarchy, hierarchy—rule by priests
- patriarchy—rule by fathers or men
- phylarchy—rule by a class or tribe
- plutarchy—rule by the wealthy
- malarky—rule by the stupid
- polyarchy—rule by many
- synarchy--rule by a secret minority
- terarchy—(fictional) rule by a monster or monsters
- thearchy—rule by God or gods
source: https://answers.yahoo.com/question/index?qid= 20071024021740AADiDvZ
If you don't find your concepts in this list, then there is always this longer list of Forms of government - Wikipedia:
C
- Capitalist republic
- Capitalist state
- Central government
- Centralized government
- Christian republic
- City commission government
- Coconstitutionalism
- Collaborative governance
- Collective leadership
- Collective leadership in the Soviet Union
- Commonwealth
- Commonwealth (U.S. state)
- Communist state
- Confederation
- Consensus government in Canada
- Consociationalism
- Constitutional dictatorship
- Constitutional liberalism
- Constitutional monarchy
- Constitutional theocracy
- Continuismo
- Corporate republic
- Corporatocracy
- Council–manager government
- Counterintelligence state
- Crowned republic
- Cyberocracy
D
G
P
- Panarchy
- Pantarchy
- Parliament
- Parliamentary republic
- Parliamentary system
- Particracy
- Patriarchy
- People's democracy (Marxism–Leninism)
- Plantocracy
- Plato's five regimes
- Plutocracy
- Police state
- Political institutions of ancient Rome
- Political union
- Pontificate
- Presidential system
- Prime ministerial government
- Principality
- Proprietary community
- Puppet state