Which version of Greek mythology is the best? The most complete?

I have seen Olympus, but many of them are wrong. For example, Pan appeared in the episode played by Zeus, but in fact Pan is the son of Hermes. In this episode, Pan is like Hermes' grandfather.

As for the book "The Birth of Zeus" you mentioned, I don't know, but you can read books such as Homer's Epic or the Biography of Hirsid.