Again, not all communism is Marxism-Leninism, no matter how much tankies and free market capitalists want you to believe that it is.
Communism is the workers owning the means of production. Nothing more, nothing less. How that happens is where all the different political views come in, which is socialism (although not all socialists are communists, some are even anti-communist).
Some non-command economy alternatives
You have started to answer your own question, although there are many variations on how to do it and if I go through them all this comment will end up being a wall of text.
