[Super-Earth] The Meta Forces
All superpowers derive from the use of the two Meta Forces: the Physical / Cosmic Force and the Mental / Psychic Force.
A parahuman (the modern generic term for someone with powers that most humans don't possess) is born with the ability to draw onto one of those two forces to bend reality out of shape. The exact effects vary based on the individual's DNA and/or personality, and are completely unpredictable. The powers can reveal themselves early or later in life; some people live out their entire lives without knowing they are parahumans.
The Cosmic Force is rooted in the parahuman's body. This lends itself to more passive powers that don't go away when the user is unconscious, such as invulnerability, agelessness, increased healing factor or heightened senses. More active powers like pyrokinesis, flight or superspeed can be overused and lead to the body "snapping" by pulling too hard on the fabric of reality.
The Psychic Force is tied to the parahuman's mind. Most powers derived from it are active and have to do with, well, minds. Parahumans with this kind of power tend to face more mistrust than others, both due to the high prevalence of abilities that mess with other people's psyches and to the fact that "snapping" of the mind after overusing a Psychic ability often leads to insanity. The latter fact led to the emergence of the derogatory term "Psycho".