I'd love a kind of game with a scenario system where your decisions really substantially change the path of the story. Where you have real agency in the world and there are real urgency to your decisions. Most games your choices don't feel real. You don't get to decide where you go next, you just get to decide how the NPCs in the story end up after.
Some kind of scenario system where certain story events are keyed to happen at certain times, some with conditions on previous events happening, certain characters being alive, or being on your team.
Timing wouldn't be based on real world time, of course. There's a game called Ephemeral Fantasia that tried that and it was awful. It'd be based on traveling between major locations, doing story events or just choosing to wait. You could take your time within the story event as much as you want without time moving forward.
It'd have to be a short game so you're designed to play it, maybe make the main character a time traveler, and it'd turn into like a story puzzle. Figure out the right combination of things you need to do to make the story come out the way you want.