I haven't seen any of these on the roads for many a year. The nearest one is a Raleigh with a Sturmey Archer gearbox and has a 1962 tax disc on it! The other one is I believe an NSU Quickly - very popular in their day as they were cheap to buy, easy to mend and did about 100 miles to the gallon on 2-stroke fuel, albeit at a maximum speed of 35 miles per hour and needed to be assisted up hills with the pedals!
I presume you are referring to the mopeds? :-)