Rust, I'd argue, is the language trying to really take on most of the C use cases. The only one it's really not trying to take over is old embedded work where C is pretty much the only option.
Otherwise, I can't think of any circumstance Rust isn't trying to muscle in on C and C++'s territory.
C++ too to a lesser extent. I work on spacecraft flight software, and there's a significant push to move from pure C to modern C++.
No single language is going to (or wants to IMO) replace C in every single use case, but replacing C in specific use cases has been a huge boon for productivity.