There are several social and economical theories that consider a central government, and thus the state, unnecessary. Historically the anarchism movement is maybe the most known, but recently other schools of thoughts are getting relatively important, such as communalism and democratic confederalism (mostly relevant in the context of the revolution in northern Syria).
Even communism in its final form (i.e. past the dictatorship of proletariat transitioning phase) should be a stateless and classless society, however historically "communist" states failed to get past this transitioning phase (due to a refusal to give up power by the State, I guess) and ended up in a State Capitalism system, as in the USSR and in China.
However, to be honest I don't know this topic in detail enough to teach anyone, so I can only suggest you to look for more info in case you're interested.