Wonder Woman is steeped in mythology but they've never used it succesfully. She's not an actual mythological character like Thor and Hercules. There wasnever an attempt at retelling mythology classics with a modern slant as in Bacchus and Incredible Hercules. And I agree with Alan Moore and Mark Waid that it's the sexual stuff that made Wonder Woman interesting in the first place. I also thought the Modesty Blaise period was good (damn Gloria Steinem!).
In Secret Six the characters are dressed in spandex, which doesn't work too much (I still like it because it's very much like Suicide Squad). As for Birds of Prey, I should try it but the covers showed a lot of colorful superhero costumes.
Looking at Iron Man and Thor, the costumes have been tweaked to remove them from the superhero look. Adi Granov mentioned IM was a techno-thriller and he went for that look, designing the armor like a jet fighter rather than an outfit. For Thor, in all mini-series (First Thunder, For Asgard, Loki) his look is redesigned to make it less superheroey, even when those stories are retellings of Kirby stories.
A similar thing has been happening with Captain America, these days he wears trousers, army boots, actual coat mail. Even the recent FF costumes showed their bare arms and removed them from the pajama stigma.
When you think of Flash, Green Lantern, Batman, they will always look like superheroes. Mike Grell had created a look that worked for Green Arrow when he did the urban jungle approach. DC tried a new look for Wonder Woman, can't say I like it (damn Jim Lee!).
I'd expect that they tweak the Flash costume to make it more like a skater's or other speed sportsman's costume. They've got so many Flashes they could try this with one of them.
Yes, DC has tried to revive other genres but they don't put top talent on it. Though, I admit even Morrison wasn't too succesful with Seven Soldiers.
Hex has attracted Cooke, Gulacy, Bernet, great artists that aren't interested in superheroes and there many of those.