To the ancient Greeks, the Gods and Goddesses of the world were not just real beings but also archetypes in their own right and anthropomorphic representations of the very forces of the world around them. While at times these deities may seem to be incapable of being typed due to contradictions or different depictions, but again since they exist as archetypes, I would think that they are capable of being typed.
Zeus: ENTj
Poseidon: ISTj
Hades: INTj
Hera: ISFj
Demeter: INFj
Persephone: ESFj
Artemis: INFp
Apollo: INFp
Athena: ENFj
Hephaestus: ISTp
Ares: ESTp
Aphrodite: ESFp
Hermes: ENTp
Dionysus: ISFp
Hestia: ENFp