I can think of a handful of games that, despite being games that I’ve enjoyed, never really became part of a “genre”. Do you have any like this, and if so, which?
Are they games that you’d like to see another entrant to the genre to? Would you recommend the original game as one to keep playing?
The Stanley Parable doesn’t really have a genre, and I don’t think you make another entry into that genre without being derivative. There’s a couple games I can think of that have themes of player agency, Bioshock and to a lesser extent Spec Ops: The Line. Just some ramblings.
The Beginner’s Guide (also by Davey Wreden), One Shot, Undertale and Deltarune, Omori, and SOMA all deal with putting player agency to question.
ICEY comes to mind, worth a try