Riding schools -if you can call them that- in Greece used the smallest/easiest bike they could get away with for a given category -practically, a scooter or underbone motorcycle for A1 licenses (though that would also result in an "auto only" or "auto clutch only" stipulation), and a small, skinny bike such as an Kawasaki AR50/ Honda MB5 for riding "with gears".
Something like a Honda CB250 would be used for the "bigger" A2 motorcycle license, which automatically turned into a full A license after a few years, depending on the age of the rider.
Some even used an oldschool Piaggio Vespa PX200 for the latter purpose, as it did have a hand-operated clutch and twist-grip gears