There’s a genre called Adult Visual Novels which can be a more … refined experience. Not so much games but more like illustrated choice-driven stories. Some may include mini-games or other game-like aspects.

f95zone.to/forums/games.2/ filter by VN or Completed and sort by descending rating. The first couple pages are full of excellent examples. However, note that a lot of them are still being developed and may only release updates once or twice a year.