There are lots of systems that have varied results. 2d20 and storypath both use a required number of successes to create space for partial success for example.
Freeform Universal uses 6 results (no-and; no; no-but; yes-but; yes; yes-and)
Genesys/Starwars FFG has a dual symbol system which has success/failure tracked separately from advantages/complications. There's also two critical symbols which do not cancel even though one is good and one is bad. You could potentially get a roll which is very good & very bad at the same time.
Those are just the ones I've played. I'm absolutely sure there's more.