So my favorite system right now is CORE. The resolution mechanic breaks down into a combination of Yes/No and And/But. So for instance you can get an okay result that is "Yes, But" where you succeed but at a cost. You could also fail spectacularly with a "No, And" where not only do your not succeed but something even worse happens. The only thing there isn't a result for is just a straight up "No" because that doesn't help move the story along.
Thanks for sharing this! Your post here pushed me over the edge to go give the rules a read and I really like what I'm seeing so far! Are there any actual play podcasts or videos you'd recommend for seeing the system in play?
There is! I actually discovered the system through an actual play called Legends of Tabletop. The first one they did was actually with the creator and it uses a version called Daytrippers. Since then they've done a handful of CORE games, like a Cthulhu version, some sci-fi, and classic fantasy.