One of the more interesting things that Morrison did in his JLA run was to structure the JLA like it was a Greek pantheon (Superman as Zeus, Hippolyta WW as Hera, Batman as Hades, Huntress as Artemis and so on). But wait, Superman isn't Zeus and WW isn't Hera, you might ask. Or why does it have to be Greek Gods, why not another mythology? Like Norse or Hindu or Egyptian or the Orisha's or maybe a JL that's built like the Knights of the Roundtable? If so then welcome to the purpose of this thread: build a JL roster based on a pantheon of your choosing.
Zeus: Captain Marvel/Billy Batson (mostly because of the lightning symbology than anything to do with Zeus personality)
Poseidon: Aquaman
Hades: Batman
Demeter: Swamp Thing (odd choice but he fits. I considered Poison Ivy but I think Swampy is more on the heroic, pure natured side)
Hera: Talia Al Ghul (this was a tough one. But I guess she fits the motherly but still vengeful characteristic. Prior to Morrison she was more of an anti-villain and often sabotaged her father's schemes. This would be a return to form, imo)
Ares: Black Adam
Athena: Hawkwoman/Shayera (combine her JLU personality with her more science-y comic book counterpart)
Apollo: Superman (Power from the sun, will outlive his lovers)
Aphrodite: Wonder Woman (initially wanted her as Athena but Aphrodite fits her as well. Also considered Poison Ivy for this role)
Hermes: Flash (this is easy)
Artemis: Vixen (Goddess of nature, the hunt and animals and the sweet natured one you don't ever want to cross)
Hephaestus: Steel/Michael Irons (Another credit to Morrison)
Bonus:
Hecate: Zatanna
Hestia: Fire/Beatriz Da Costa (Also considered Lorraine/Firehawk but Beatriz needs more love and has previous League tenure)
Oracle: Barbara Gordon/Oracle