I'm in two games that might fit your criteria!

The first is meadowlark, which is a cyberpunk style game that takes place in the far future. Characters find themselves under the protection of a mysterious organization called Morningstar, and find they've been experimented on, though they don't know by who. These experiments have given them a superpower they haven't had before (player's choice!) and the ability to feel the emotions of other characters through touch. The game definitely isn't slice of life, and plot engagement is pretty open. There's a post you can contact the mods on with anything from "if my character pees in this fountain in public, what happens?" to "if my character tries to infiltrate this shady corporation, what can they find out?"

The second is hadriel, which is more of a mixed bag, genre wise. Basically, the characters are brought to the city by a group of entities calling themselves gods that feed off of their emotions. To facilitate this, every month there's a different event based on different emotions, so events run the gamut from fear-based horror style events to more chill love-based events to traumatizing sorrow events. We're pretty deep into the overarching plot right now, which involves a bunch of shapeshifting robots that are trying to kill the gods, as well as the original inhabitants of the planet showing back up to make things even messier.