If this isn't a superhero campaign, it also isn't a traditional fantasy campaign. There are a lot more potentially world-destroying monsters, such as Typhon, the Midgard Serpent, or the Fenris Wolf to cope with. And that's the kind of beasts the PCs should be encountering. This is an age when these threats have not all been locked away; they remain to threaten the ordinary mortals whom the demigods protect. Perhaps even the previous generation of "titans" is still around, provoking a revolt by the PCs themselves!
As is evident by the illustrations I've chosen, I was greatly influenced bt the Walt Simonson run on Marvel Comics' THOR in the 1980s. He played up Thor's mythological elements while infusing it with an epic, heroic style that most previous witers and artists had neglected. Especially impressive were Thor's battle with the Midgard serpent (while suffering from a major curse from the death-goddess Hela), and Thor's invasion of Hela's realm of the dead against impossible odds. The heroic sacrifice of Skurge the Executioner, one of Thor's former foes, holding the Bridge of Death while the other heroes escaped from Helheim, is a crowning moment of glory in a superbly told epic that elevated Thor beyond a mere comic book character.