Ancient greek timeline By william ite 778 BCE The first Olympic Games takes place. 750 BCE Homer composes the Odyssey 550 BCE Democracy begins in Athens 490 BCE Battle of Marathon - The Greeks defeat Persian invaders. 480 BCE Battle of Salamis - The Greeks defeat Persian invaders 450 BCE Athens takes control of an empire. 440 BCE Greek plays are performed in Athens. 432 BCE Parthenon is finished in Athens. 338 BCE Alexander the Great conquers all. 146 BCE Greece is conquered by Rome.