Unfortunately, communism showed that greed is a much better motivator which is probably the primary reason capitalism has flourished.

I don't think we've given Communism a good go, especially as those societies in the modern world (i.e after the advent of capitalism) have been capitalist states, either internally or externally to other nations. The fact is that in the absence of a motivator for money, people will do things for a variety of reasons, including wanting to make the world a better place, out of a desire for mastery, desire for recognition, out of wanting to improve the lives of those who will come after you, to live in a society you want to live in (everyone wants to live in a society with clean toilets) etc.

It is also a fact that these motivators only appear in two cases, (i) when people have enough money to not have to worry about survival and being satisfied (ii) when people have no need for money, as they are already satisfied.

Neither of these cases has happened yet.