Do you want socialism, fascism, capitalism, liberalism, barter, feudalism, and anarchism?
Every human society, in every century, has been a complicated mix of different systems?
I saw on Reddit some people who were trying to figure out the right label for their beliefs. A big of open markets, a bit of the welfare state, what is the correct label?
I'll point out, every single society, on every continent and in every century, has had a mixed economy, so in some sense there is no need for any of us to be too strict with labeling ourselves. Fernand Braudel brings this out repeatedly in his books:
https://www.amazon.com/Structures-Everyday-Life-Civilization-Capitalism/dp/0060148454/
As he says, Europe was a complex mix of barter economies, market economies, capitalist monopolies, state run resources, Christian communist and communal experiments, and this was true for every century that he covers. In the distant mountain valleys there were Neolithic communities that avoided the main flow of civilization at least till the 1200s -- those communities did not participate in the Bronze Age or the Iron Age, they stayed in the Stone Age till the late Middle Ages. As Braudel likes to point out, older systems tend to quietly survive much longer than anyone has any idea about, unless you happen to a member of one of those quiet, hidden subcultures.
Even the USSR had some market activity, at the local level.
And of course, every human society has crime, so no matter what label you want to put on a society, there are people who violate that label everyday. If you believe you in live in a society where economic activity is grounded on the principle of private property, keep in mind there are thousands of people violating that principle every day. Criminals lead to a mixed society, no matter how hard any government tries to enforce any particular ideology. Indeed, the USSR was full of thieves, so in that sense it never came close to achieving actual Communism, nor was it able to fully establish the principle of government ownership, since people were stealing from the government every single day.
If it is really important to you, then by all means figure out what label applies to you, just remember that even if you were lucky enough to gain power and enact extensive reforms, your society will remain a complex mix of many different systems.