Anarchy is a broad term, but most Anarchist thinkers aren't naïve enough to suggest there would be no states or corporations or religions.
Most would agree, Anarchism is the suggestion that all organizations and individuals are equals. Churches, Nations, Corporations, Coops and Individuals are all equal unto the true nature of their environment. Anarchy is the environment. Raw physical power is all you have. If you depend upon another for that power, you're not free.