Embedded stuff, where memory-usage and cpu-speed matters.
The interrupt handler part of an OS (and maybe two or three more functions in it).
Even if some of you will now start to bash heavily on me now:
I dont think that any decent app should be written in C - it is way too error prone.
(and yes, I do know what I am talking about, having written an awful lot of code in C myself (OSes, compilers, VMs, network protocols, RT-control stuff etc.).
Using a high level language makes you so much more productive. Speed is typically gained by keeping the 10-90 rule in mind: 90% of CPU time is spent in 10% of your code (which you should optimize first).
Also, using the right algorithm might give more performance than optimizing bits in C. And doing things right in C is so much more trouble.
PS: I do really mean what I wrote in the second sentence above; you can write a complete high performance OS in a high level language like Lisp or Smalltalk, with only a few minor parts in C. Think how the 70's Lisp machines would fly on todays hardware...