The Supers genre has a lot of subgrenres.
Detective Supers[]
Detective Supers is more about the heroes needing to find their way to the fight by investigating the actions of their foes rather then solving a traditional mystery,
Fantasy Supers[]
Fantasy Supers is more toward Supers being magically powered or in magical settings. The Titans in New Titans Annual Vol 1 #10 (June 1994) and the stories in Green Lantern: 1001 Emerald Nights (March 21, 2001) can serve as examples.
Supers Horor[]
Horror is difficult to pull off at the best of time and Supers can aggravate the problem. Note that Supers Undead and Supers Zombies need not be horror themed.
Mutant Supers[]
Mutant Supers were made popular by the X-men. Basically mutants are Supers who are born with super powers. In Marvel, characters that gain powers after birth though other means (such Spiderman and She-Hulk) are considered mutates.
Space Supers[]
Space Supers either have space themed origins (Superman, Green Lantern Corp, Silver Surfer, Martian Manhunter), operate in space (Space Ghost, The Herculoids, Frankenstein Jr), or have foes from space (Skrull, Galactus, Brainiac). GURPS Supers 91-98