System Information
Windows 8.1 x64

Blender Version
Broken: (064ef3f-win64)

Adding any modifier and exporting an FBX with the binary exporter and 'apply modifiers' active
makes Unity import a material called 'No Name' regardless of actual materials and their number.

Hope it isn't too Unity specific, but the problem seems to be on the new exporter's side, the ASCII one works fine in that respect.