Like Soviet Union, PRC, DPRK, Viet Nam? From my understanding these weren't/aren't really ruled by the people but by a wealth(ier) elite, they use systems of money, have (limited) private property, etc.

Which, imo, is capitalism or (its friendlier variant) socialism (which has some communist features like universal healthcare for example), but is not communism.

Isn't the goal of communism supposed to be anarchist communism (no state [government], also no rich/poor divide)? Where nothing is owned, either by the state or by individuals?

I didn't think statism is compatible with communism.