I believe some anarchists believe that cooperatives are a good first step. This is maybe more stateless socialism, but an anarchists would prefer elected managers/leaders in such organizations be trained that their position doesn't give them any real authority over others but rather just additional responsibilities. A small example could be the wording of these positions might be different; instead of managers, they might be called coordinators.

Cooperatives are, at least now, still currently subject to market forces, and people would would together to get things done. The sole difference being workers would have more freedom over their lives since they'd be the owners of the means of productions.