I don't think you have to go all the way back to the ST,Amiga era, I recall there was a surge of Win32 assembly after that with some nice assembly applications as the result. However with the level of optimization offered by compilers today, these days assembly seems mainly relegated to where it's fine-grained control allows for better performance in extremely performance oriented parts of code. An example of such would be SIMD code where highly fine-tuned assembly code often runs circles around the compiler generated equivalent, as proven by simply comparing x264 performance with or without assembly optimizations.
Personally I haven't done any assembly programming in atleast the past 6-7 years but I still get the urge now and then to program in it again. However, even though it's unlikely that happens, my assembly experience has given me a thorough understanding of how the computer works at a basic instruction/memory level which has been extremely valuable when I want to create optimized code in higher level languages (like C). So yes, while learning C is certainly worthwhile even if you are going to write in even higher level languages, learning or atleast graping the fundamentals of assembly is in my opinion even better.
Personally I haven't done any assembly programming in atleast the past 6-7 years but I still get the urge now and then to program in it again. However, even though it's unlikely that happens, my assembly experience has given me a thorough understanding of how the computer works at a basic instruction/memory level which has been extremely valuable when I want to create optimized code in higher level languages (like C). So yes, while learning C is certainly worthwhile even if you are going to write in even higher level languages, learning or atleast graping the fundamentals of assembly is in my opinion even better.