I've always seen anarchists oppose government, and they usually have some pretty good criticisms. But I've never seen a good, realistic description of what they expect society to be like when that's gone.
And along with these criticisms often come criticisms of corporations. But capitalism will thrive under anarchy, especially the worst capitalist entities with huge negative externalities. Things like gangs and mafia would love it if government were gone, and would probably take it's place.