Communists typically side more with Marx over Bakunin, and believe in a state as owned and managed by the Proletariat being the best method by which to achieve the end goal of a Stateless, Classless, Moneyless society.

Anarcho-Communists tend to side more with Bakunin over Marx, believing such a structure to be dangerous in and of itself, and seek more decentralized revolutionary change.

Anarchists additionally tend to believe Marx's analysis of Capitalism is good, but disagree on methods of achieving Communism. Anarchists aren't anti-Marx, but rather tend to be more post-Marxist.

Additionally, there are nuanced differences in Communist structures. In traditional Marxist belief, the Socialist State would build up the infrastructure for Communism before withering away and being maintained by a Communist society, whereas Anarcho-Communists tend to prefer systems of Mutual Aid, which are almost the same but just different strategy.