For one thing, there are no property rights, people are free to live wherever they want, which usually tends to turn society into Mad Max type "you live wherever you can take and hold by excessive force" scenarios.
For another thing, all goods and services are communal and you are expected to just walk into any community store and take as much as you want or need. Let's take beer for example: Everyone loves to drink beer but nobody wants to go to the trouble to make it. How do you suppose those community store shelves are going to stock themselves? Basic food and supplies would be the same deal. What does a farm gain from putting the food created by his hard work on the shelves? Freeloaders will just take it all and he'll get nothing in return.
I guess I'm trying to see how society wouldn't devolve back into tribal villages under any form of anarchism. I just don't think people will work hard for each other out of altruism. They need a reason to work, and that reason seems to be wages and compensation.