Are some of Azz and Chiang's depictions of the Gods all that unique? Hera is a beautiful woman decked out in peacock feathers, pissed off at her husband for cheating on, and summons monsters and stuff to kill his offspring. That's pretty much how she was in Hercules the Legendary Journeys. Even when Azzarello makes her more sympathetic, there's precedent for that in other sources as well. She became nicer in later Xena/Hercules episodes, and the WW comics have called out Zeus on his cheating heart and made Hera the sympathetic one. Poseidon? Zeus's brother who resides over the oceans, hates Athena, makes a play for the throne: pretty standard stuff. Even his design isn't all that unique, we've had depictions of him with a merman tail and/or made entirely of sea water before. Eris/Strife? The Grim Adventures of Billy and Mandy kind of got there first with a diva who stirs crap up for the lulz.
And beyond the aesthetics, when you get right down to it, the basic idea of this cast is the same: the family of Gods from Greek myth who reside over archetypal domains and are constantly stabbing each other in the back is the same in practically every story they appear in.
But:
Lex Luthor: Bald mad scientist who grew up in Smallville, created a thriving business in Metropolis, hates Superman.
The Joker: Clown themed criminal mastermind, disfigured with bleached skin and green hair, attacks people with clown/comedic themes weapons and a toxic gas that leaves his victims with a hideous rictus, has a sidekick named Harley Quinn, lives in Gotham City and fights Batman.
The Cheetah: Vain socialite with a split personality who dons slaughtered animal skin during her craziness and jealousy that leads to a vendetta against Wonder Woman/callous treasure hunter who becomes the avatar of a jungle goddess and battles Wonder Woman.
All three live in the same fictional universe owned and published by DC Comics.
All three of these characters play on classic archetypes and have inspired derivative characters, but the details come together to form unique creations that aren't found in other tales. The difference between them and the Greek Gods is pretty clear. Cheetah as she is can only exist in stories with Wonder Woman, but Hera as she is can appear anywhere.