The civilizations of Greece, Rome, and China have done this, but what sets them apart from the others is their lasting significance and lasting impact they had on the world.For this reason, they are considered classical civilizations.To describe how Greece, Rome, and Han China are classical, there are three systems that are used; these are Economic, Social, and Political. Out of these three classical civilizations, Greece came first in history.An important invention of Greece was its plumbing systems.he civilizations of Greece, Rome, and China have done this, but what sets them apart from the others is their lasting significance and lasting impact they had on the world.