You will quite often find that the file you need to sharpen a tool is named after the tool itself. For example, a crosscut saw should be sharpened with a crosscut file.
Sharpening files tend to be single cut, as double cut files can sometimes ruin a blade edge by cutting it too aggressively.
Suggestions are provided below for which files to use for specific sharpening tasks.
Auger bit
Auger bit files
Chainsaw
Chainsaw and diamond chainsaw files
Crosscut saw
Crosscut saw, double ended saw, mill and taper saw files
Knife or single bladed tool
Single cut flat, hand and mill files
Rip saw
Double ended saw, mill and taper saw files
Saw (other than crosscut saw, rip saw and web saw)