Feels like Zig is starting to fill that role in some ways. Fewer sharp edges and a bit more safety than C, more modern approach, and even interops really well with C (even being possible to mix the two). Know a couple Rust devs that have said it seems to scratch that C itch while being more modern.
Of course it's still really nice to just have C itself being updated into something that's nicer to work with and easier to write safely, but Zig seems to be a decent other option.
How close are Zig's safety guarantees to Rust's? Honest question; I don't follow Zig development. I can't take C seriously because it hasn't even bothered to define provenance until now, but as far as I'm aware, Zig doesn't even try to touch these topics.
Does Zig document the precise mechanics of noalias? Does it provide a mechanism for controllably exposing or not exposing provenance of a pointer? Does it specify the provenance ABA problem in atomics on compare-exchange somehow or is that undefined? Are there any plans to make allocation optimizations sound? (This is still a problem even in Rust land; you can write a program that is guaranteed to exhibit OOM according to the language spec, but LLVM outputs code that doesn't OOM.) Does it at least have a sanitizer like Miri to make sure UB (e.g. data races, type confusion, or aliasing problems) is absent?
If the answer to most of the above is "Zig doesn't care", why do people even consider it better than C?
As usual the remark that much of the Zig's safety over C, has been present since the late 1970's in languages like Modula-2, Object Pascal and Ada, but sadly they didn't born with curly brackets, nor brought a free OS to the uni party.
(self-promotion) in principle one should be able to implement a fairly mature pointer provenance checker for zig, without changing the language. A basic proof of concept (don't use this, branches and loops have not been implemented yet):
https://www.youtube.com/watch?v=ZY_Z-aGbYm8