Posed similar questions about communism in the past. I’m just trying to understand, I ask because I know there is a reasonable contingent of anarchists here. If you have any literature to recommend I’d love to hear about it. My current understanding is, destruction of current system of government (violently or otherwise) followed by abolition of all law. Following this, small communities of like minded individuals form and cooperate to solve food, safety, water and shelter concerns.


Not an anarchist, but the common thread among those I’ve talked to is the elimination of hierarchical structures (whether government or otherwise).
Other types of organization are fine, as long as there are no asymmetric institutional relationships.
I’d be interested to figure out what type of organization are compatible.
Cooperatives, mutual aid networks like Food Not Bombs, rank-and-file/leaderless unions like the IWW, etc. There is a limited number of modern day examples because such organizations have historically faced systematic repression, but the list grows much longer if we look to the past. Such organization also tends to form spontaneously during natural disasters and the like when there is little to no state intervention, and quickly dissolve whenever the state intervenes.
For organizations with broader scope and on longer timescales, the Zapatistas in Chiapas, Mexico and Rojava in north and east Syria are good examples.
Keep in mind of course that the real world is messy and full of conflict, and that results in there not being any perfectly pure example of anarchist ideals in practice in the same way that there is no perfectly pure example of any ideology in practice. In addition, many of the groups I listed above do not make explicit reference to anarchism and are doing their own thing that just so happens to map onto anarchist ideas, and they often don’t call themselves anarchist or even have an aversion to ideological labels entirely.