Are there any Greek wars besides the Trojan war?

Answer 1

Yes, many. The Greeks fought wars constantly with each other and with outsiders. The Trojan War happened so long ago that it is difficult to glean truth from myth, but the two Persian Wars are fairly well documented, and there is a very good account of the Peloponnesian War between Athens and Sparta. The dreaded Philistines of the Old Testament (Judges and Kings I) may have been expatriate Greeks. The Greeks continued to fight many wars with the Persians whom they finally subdued, and later with the Romans who finally subdued them.

Answer 2

The Trojan War was 12th Century BCE. After that, the Greek world was involved in war between the city-states continuously, sometime between two cities, sometimes between alliances of cities (eg Peloponnesian War 431-404 BCE), sometimes individually or collectively against external powers (eg Persian War 499-449 BC).