The iconic pantheon of superheroes who form the Holy Trinity of the DC Universe suffer from an identity issue they've never been able to outgrow- their equally iconic costumes.
If Batman doesn't have his cape or pointy-eared cowl, if Supes doesn't have a cape or an S on his chest, and if Wonder Woman is caught without either her bracers, tiara or lasso these heroes somehow lose their power.
Artists have tried to come up with new outfits to make them look more like normal folks, but they're not normal- they're super, so any wardrobe change should really reflect that.
That's why two of the three redesigns created by Stephen Byrne work so well- Batman becomes a bit more of an agent or contractor but still retains his batty spirit and still looks intimidating.
And Wonder Woman looks like an urban adventurer ready for action, still regal, still a warrior but less of a princess.
Supes in jeans and a t-shirt, on the other hand, just doesn't do it for me.