Anarchy is a political structure where there’s basically no one in charge, right? But wouldn’t that just create a power vacuum that would filled by organized crime, corporations, etc.? Then, after that power vacuum is filled, we’re right back at square one, and someone is in charge.
Are there any political theorists that have come up with a solution to this problem?


Sounds a lot like a bunch of small states to me.
States have governors, towns have mayors, and in anarchist theory none of those heirarchal positions would exist. Usually, heirarchies are formed in order to complete projects and those heirarchies are supposed to disappear once the project is complete. Can’t really have a state without a legislative body dictating it.
The original definition of state is different from the western nuspeak one that means government
the point being that there will be government, just horizontally managed.