Anarcho capitalism is an oxymoron.

Capitalism is the control of the means of production by the owning class.

Communists seek to remove class.

The most basic understanding of the difference between communism and anarchism is the how.

Anarchists want to destroy the state, and believe that socialism will evolve naturally from there.

Communists believe that the state should be used to build socialism, and reder itself unnecessary, at which point they believe the state will wither away.

Both anarchists and communists have the same utopian end goal of a stateless classless social order where the means are owned and managed by the workers.

With communism also advocating such a social order to be moneyless.

"From each according to ability, to each according to need" is the motto of the gift economy that anarchists and communists support.

Meanwhile capitalism is literally what we already live under.

Personally I believe that Bitcoin adoption will be what destroys modern capitalism.

The central banks that loan money to our governments can not print unlimited Bitcoin like that can with fiat.

There are distinctions between different forms of capitalism, but none of them are anarchist in nature.

Neo liberalism is the type of capitalism you see in USA.

Social democracy is the type of capitalism you see in Scandinavian countries.

Lassie fair (probably spelt that wrong, the one people refer to as free market) is what you typically see in much of the developing world.