Anarchism isn't communism.
Collectives, committees and coops are
classic anarchism. The ideology (obviously) never intended the world to become a Mad Max type hellscape, just to break down the levels of power in society to a point where there are no power structures larger than small, voluntary groups and councils. Oppression would cease to exist by virtue of the tools of oppression being deleted.
You're actually right that it has much in common with communism - both ideologies spawned out of the same 19th century environment, and share a lot of values, but they differ in how they want to go about achieving their goals and what level or government is acceptable.
Violence has always been a part of anarchism. But it was much more acceptable in the early days when emperors and kings ruled Europe. It also used to target those same emperors and kings, as well as other figures of extreme power. The kind of meaningless, indiscriminate violence we see in Hamburg is a complete corruption of that.
