Here’s a list of Society and Government types I’ve stolen directly from the worldbuilding section of some rulebooks:
Anarchy: the social conscience maintains order, but there are no laws
Athenian Democracy: Every citizen can vote on every new law
Representative Democracy: Elected representatives form a congress or government
Clan: Pretty much whoever is older is in charge, traditions are strongly adhered to, and society as a whole is split cross many tribes that are generally similar (and usually allied) but with their own quirks and traditions
Caste: A lot like a Clan structure, but each clan has a set role in society that usually renders them co-dependent. These Castes usually follow a social heirarchy
Dictatorship: One person controls everything, and they will later pass the right to rule to someone else, whether by inheritance, election, duelling, or some other method. Not all dictatorships are bad, especially if they are formed in times of crisis or rebellion, but even those started with the best intentions may quickly corrupt.
Plutocracy: Whoever has money is in charge.
Technocracy: A group of scientists and engineers have complete control and do everything they can to run the country at maximum efficiency. The more competent they are, the more likely this is to be viewed as a good thing.
Thaumocracy: Like a technocracy, but run by a science-like form of magic (like wizards and arcanists rather than shamans and witches)
Theocracy: The Church controls everything, and their religious law is civil law. Whether this religion is real, is fake but knows it, or believes its own lies is up to you.
Corporate State: Powerful mercantile organisations have taken control of entire regions. This is a lot like a Technocracy, but with a corporate structure and a focus on maximum profitability (and no-one else is going to set them a minimum wage)
Feudal: A lot like a dictatorship, but subsidiary lords are assigned their own local power and can enforce their own law without notifying the larger state.
Bureaucracy: Government runs very slowly and the public has effectively no control. There is a lot of red tape and taxation is high.
Colony: Government is dependent on a mother society
Cybercracy: A computer system is the state administrator. Hopefully the programmers did a good job…
Matriarchy: Positions of authority are female-exclusive.
Meritocracy: Positions of authority require rigorous testing to qualify for.
Military Government: The Military control everything, usually but not always totalitarian
Monarchy: The person in charge may call themselves king or queen, but fundamentally this is either a dictatorship or a feudal society.
Oligarchy: A small organisation is in control, and it elects its own members.
Patriarchy: like a matriarchy, but for guys. what a novel idea
Sanctuary: A society that protects the people other societies hunt (that may be considered criminals or terrorists by other nations)
Socialist: The government directly manages the economy, education is easy to get, the government intervenes to get everyone possible a job. This is likely to collapse quickly without good technology or magic to assist it.
Subjugated: The society as a whole is completely controlled by an outside force.
Utopia: A perfect society where everyone is satisfied and nothing sinister is happening behind the scenes we swear.