Two leagues - one led by Athens, the other led by Sparta.
The Persian-Greek wars stretched from 499-449 BCE in several phases. There were not two distinct wars.
Darius and Xerxes.
Sparta and Athens.
Darius the Great and Xerxes the Great.
The Persian Empire and an alliance of Greek city-states.
The Punic Wars were a contest for supremacy in the Western Mediterranean between two rising powers. The Persian War was a contest for supremacy in the Eastern Mediterranea.
No, Sparta was not part of the Delian League. The Delian League was a coalition of Greek city-states led by Athens, formed in 478 BCE to continue the fight against Persia after the Persian Wars. Sparta, on the other hand, was a member of the Peloponnesian League, which was a rival alliance to the Delian League. The two leagues eventually clashed in the Peloponnesian War.
The Battle of Thermopylae took place in the second of the two Persian Wars, also known more recently as the Greco-Persian Wars.
In the Persian wars which to civilizations fought in the battle of Plateau
Darius the Great and Xerxes the Great.
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.