SI and metric are actually subtly different. Do any countries actually use SI rather than metric?
Even US laws explicitly refer to SI, for example the Metric Conversion Act of 1975: http://www.gpo.gov/fdsys/pkg/STATUTE-89/pdf/STATUTE-89-Pg100...
The question of GGP was, whether some countries use other metric systems which are not SI. I don't think such a country exists.
At about the same time as the Imperial unit reform Britain introduced the "florin" 2 shilling coin, 10 per pound, another vague attempt at decimalization.