Just came across this site about the Justice Leage, and there’s this thing about some dude named Grant Morrison who was trying to correlate members of the JLA to various Gods and Goddesses of the Greek Pantheon. Some of the match-ups are pretty good, and some are just so-so (I think) - plus some of these characters I just don’t know. Anyway, according to this site, here is his list (although I’m gonna dig into this a bit further)

Superman = Zeus
Batman = Hades
Plastic Man = Dionysus
Wonder Woman = Hera
Aquaman = Poseidon
Martian Manhunter = an advisor only
Flash = Hermes
Big Barda = Demeter
Orion = Ares
Huntress = Artemis
Steel = Hephaestus
Green Lantern = Apollo
Oracle = Athena
Zauriel = Eros