One key point is Kratos' origin as a Spartan. His family's tragic end at his own hands is crucial. Another is his battles with powerful foes like the Hydra and Cyclops. Also, his interactions with the gods, such as Athena, are important. His journey to become the God of War and his quest for revenge against Ares are major aspects.
The God of War story is centered around Kratos. In the beginning, his life is turned upside down when he kills his family under Ares' influence. Kratos then embarks on a long and arduous journey. He battles numerous foes in his quest for vengeance. He has to use his combat skills and wits to survive in the dangerous world of Greek mythology. As he progresses, he discovers more about the gods and their true natures. He faces challenges not only from the physical enemies but also from his own guilt and rage. His journey ultimately leads him to become the God of War, a position that he uses to reshape his own destiny and the fate of those around him.