My own, simpler, taxonomy -- which anarcho-capitalists will reject -- looks like this:
• Anarchy -- "might makes right" without an effective state to referee the fight
• Libertarianism -- the minimal state for the protection of life, property, and liberty
• Communitiarianism -- the regulation of private institutions to produce "desirable" outcomes in such realms as income distribution, health, safety, education, and the environment
• Statism -- outright state control of most institutions, reached either as an extension of communitarianism or via post-statist anarchy or near-anarchy, as in Stalin's Russia, Hitler's Germany, and Mao's China.