Amsterdam, Doughnut Economics, Time article from 2021 While the long term viability of this may still be in questions, this at least answers your questions of “Name an economic system on planet earth”
Sorry you are right, there are some communities that are trying things on their own. For instance in Israel they have some socialist communities in their kibbutz in the settlement areas. They tried being self sufficient but later ended up being reliant on government subsidies. So Amsterdam having a different system within the Netherlands makes sense. I would imagine there are many more communities like these but I have not heard of a whole government body working outside of capitalism.
Updoots