Anarchists are, in general, a subset of socialists. You have wacky things like anarcho-capitalists, but it's difficult to take them seriously. There are some rigorous ancaps who truly believe that somehow the state is not needed to protect absentee ownership of property and that this arrangement will be a net benefit to humanity, but many of them simply think the government is the only thing stopping them from owning a zeppelin and wearing a top hat.