I find anarchists (more specifically ancoms) advocate for a very vague gift economy. To my knowledge, there aren’t any good works on how exactly this type of economy would be run.
Meanwhile, I find there are many works for a communist economy, such as Paul Cockshott’s Towards a New Socialism, or @dessalines@lemmy.ml’s summary of it.
Anarchist economies must be free markets, by definition. Societies may share freely internally, but the logistics and human factors in supply chains mean that trading and mercantile behavior are almost guaranteed to persist between communities.