Yes. Pathfinder 2e has a good one.

Rolling a nat 1 or 20 doesn't mean Critical success/failure. It means it moves the success status up or down one: Critical success, success, failure, critical failure. In addition, that game also specifies that a critical is also achieved by your result being +/- 10 of the result.

So if you're attempting a DC 35 check (arguing with a god, let's say) with a +2 mod, a nat 20 would get you a result of 22, a critical failure. But a nat 20 bumps it up one success, so you get a regular failure. Whereas if the DC was 25, a 22 is still a failure but your crit means it's a regular success.

This has middling applications in D&D 5e, though. PF2e's DCs and skill bonuses are not constrained by 5e's Bounded Accuracy. So they can vary a lot more. In D&D's case I had to pull pretty much the highest possible DC the game suggests so there's not a lot of use cases for this. But it's still a better system for including criticals on skill checks. And this is why 5e doesn't have them normally.