What are the capital cities of Greece?
The ancient Greek world was comprised of a couple of thousand independent city-states stretching from Spain to Asia Minor. So there was no 'Greece' or capital of Greece - the Greeks were a people not a nation as in today's term. There were major cities such as Thebes, Corinth, Athens, Sparta, Syracuse, Miletus, but as there was no country, there was no capital. Each city was the 'capital' or centre of its territory.
Athens is the name of the capital city of Greece. There are other cities around the world called Athens e.g. Athens, Georgia USA. The name Athens is derived from the name of the Ancient Greek goddess Athena. Athens is one of the oldest cities in the world with a history spanning well over 3000 years.