Comment by burkaman

The Black Mirror episode is actually closer to a different holodeck episode (they made a lot of them) called Hollow Pursuits, where an introverted engineer creates simulated versions of his crewmates in order to act out his fantasies.

I don't know if Star Trek invented this particular subgenre, but there are a lot of modern examples that seem directly inspired by Star Trek episodes. In addition to Black Mirror, the Rick and Morty episode M. Night Shaym-Aliens! has a lot of similarities with Future Imperfect, another simulation-within-a-simulation TNG episode.