One trick that sometimes helps is to include everything into one .cpp file. Since includes are processed once per file, this can save you a lot of time. (The downside to this is that it makes it impossible for the compiler to parallelize compilation)
You should be able to specify that multiple .cpp files should be compiled in parallel (-j with make on linux, /MP on MSVC - MSVC also has an option to compile multiple projects in parallel. These are separate options, and there's no reason why you shouldn't use both)
In the same vein, distributed builds (Incredibuild, for example), may help take the load off a single system.
SSD disks are supposed to be a big win, although I haven't tested this myself (but a C++ build touches a huge number of files, which can quickly become a bottleneck).
Precompiled headers can help too, when used with care. (They can also hurt you, if they have to be recompiled too often).
And finally, trying to minimize dependencies in the code itself is important. Use the pImpl idiom, use forward declarations, keep the code as modular as possible. In some cases, use of templates may help you decouple classes and minimize dependencies. (In other cases, templates can slow down compilation significantly, of course)
But yes, you're right, this is very much a language thing. I don't know of another language which suffers from the problem to this extent. Most languages have a module system that allows them to eliminate header files, which area huge factor. C has header files, but is such a simple language that compile times are still manageable. C++ gets the worst of both worlds. A big complex language, and a terrible primitive build mechanism that requires a huge amount of code to be parsed again and again.