This is only the second time I've read a reimagining of Greek mythology, the first being the Percy Jackson & the Olympians series by Rick Riordan. Those books were also a great way of learning how the gods worked, and the first time I had learned some of the myths of the Titans, who came before Zeus and the Olympians. This way of reimagining these classic myths, whether it's like Circe, where you focus on a specific god, or like Percy Jackson, where you create new characters related to the gods, and how they might affect them.
Both Circe and Percy Jackson make all of these gods feel like real people, with motivations you understand, or we see the affects of their actions on the lives of real people. You may leave thinking of them in a different light of the original myths the gods are apart of, but that's most likely the point.