Psionics play an important thematic role or are a central plot element.
Alternate names: Psychic theme, Psychic powers theme
The first video game about Psionics theme was released in 1992.
This is not applicable just because there are psychics or even if the player can use psychic powers, but when the game's plot is about psychic powers. There may be even a game where this can be applied despite the complete lack of people with psychic powers.