Communism does look good on paper though.

What sounds better than equality for all?
Real communism was never fully implemented in any of the 'communist' nations, and of course there are flaws but over time things can be revised.

To make an anarchist society work, we need 100% of the population in favour of it. We need millions of people who will not turn corrupt to take on the responsiblities of the government today. We need some kind of currency to make world trade efficient enough to work.
The way I see it the only ones that would turn corrupt are the rich and the religious, both for money.
When people have no possessions, what is there to fight over?