IThe Persians promoted internal and external security and promoted improved prosperity, while leaving local government and culture in place.
After the Persian Empire gave up and agreed to peace, Athens converted the Delian League, which it had led against Persia in the latter stage of the war, into an empire of its own.
King Leonidas of Sparta. He led 300 Spartan warriors and joined up with the rest of the Greeks to try and stop the Persians.
Athens emerged with an empire by keeping coontrol of the anti-Persian league and its money after peace was made. A counter to this empire was formed as the Peloponnesian League led by Sparta. The two groups ended up in a devastating 27-year Peloponnesian War.
The Ionian Revolt
It was a league of 180 Greek city-states led by Athens , set up after the Persian invasion was driven back, to maintain the independence of those states. After peace was made with the Persian Empire, Athens forcibly converted the League into an empire of its own and lived high on the proceeds.
Over a century after the Persian Wars Persia became a juicy target for Macedonia after it had established dominance over the Greek city-states. The Persian Empire was conquered by Alexander and divided up into Hellenistic Kingdoms by his successors, and these in turn were taken over by the Roman Empire.
The past does not mirror the future, so modern states can mirror the Persian Empire, not the other way round. Responsible modern states try to achieve good government, security and prosperity for their peoples. This is what the Persian empire tried to do, setting a good example for the present. However, like the present states and their wars and failings, the Persian Empire had limited success, and its prosperity attracted the covetous eyes of the Macedonians. Phillip II planned to take it over, and prepared and an invasion. His son Alexander took over the project after Phillip was assassinated, and destroyed the Empire before he himself died/was killed, and the Empire was split up amongst his generals.
Initially born out of Persian suppression of revolts by Greek city-states within its empire, it widened to the Persian Empire versus a coalition of southern Greek cities led by Sparta which resisted this intrusion. After defeat of a Persian invasion, Athens formed a coalition of front-line city-states (Delian League) which continued to resist Persian attempts at enforcing peace, until Persia gave up and left them to go back to their usual disruptive internal fighting.
The Persian conquest left the Asian subcontinent without a leadr. Therefore, it gave an oppertunity for Chandragupta Maurya to set up an empire.
The Greek city-states achieved naval and land superiority over the Persians. The Greek coalitions had the stamina to outlast the Persians who, after 50 years gave up.
The Macedonian empire.
The Persian Empire ceased to exist after Alexander defeated Darius at Gaugamela in 331 BCE. There were subsequent major mopping up operations over the following five years in Central Asia, but the Persian power was broken and the Persian king murdered by his own people.