Mopeds (like my disassembled Motobecane) are treated just like scooters now - anything under 50cc's still needs all the same crap as a full motorcycle, but you can get away with a Limited Speed designation on your M license.
It's a shame my wife wasn't riding the moped before, as she would have been automatically granted the LS designation. Instead she had to take the course at a college.
Same safety requirements, plating, insurance etc. Maybe mopeds don't need the safety, but that would surprise me.