Check these locations:
Below the barrel stamped into the crankcase. On the front of the engine stamped either side of the crankcase join. Below the clutch / transmission area. Rear of cases below carburettor area.
By far the most common location is on the steering head. It may also be found on one of the rear downtubes or on the front downtubes.
Other locations include: top tube below fuel tank; lower frame rails; swing-arm pivot area.
Motobecane Mobylette 1968: Forward of the rear wheel axle on left side.
AJS and Matchless
Jampot has sections on serial numbers.
The AJS Matchless Club UK
Ariel Serial Numbers
BSA Serial Numbers
Pre-war frame numbers are located on the front top frame member either near the front seat stay or near the steering head.
1950s models have the numbers located on the front downtube, either below or in front of the fuel tank. An exception to this is the early Bantams where the frame number is between the front engine mounting plate. ~ classicenglishbikes.com/
BSA Frame Numbers at BritBike.com
BSA at sunnymeadcycles (PDF)
BSA Frame & Engine Numbers
BSA C15 Serial Numbers
DKW Vehicle Identification
DKW NZ350 Serial Numbers
Frame & Engine Numbers
NSU Max - (1)
Also Automoto, Griffon and Meteore
Puch (See also Sears Allstate)
Puch moped chassis numbers Includes links to pages covering MS, MV, VS, VZ, SR, SRA and RL
See also under Penton
Sachs 98ccm Modell 1932
Terrot Serial Numbers
Velocette LE Engine & Frame Numbers
Velosolex engine serial numbers
Les numéros d'immatriculation de la belle époque (1901-1928)
"September 16, 1901 begins the first French registration system. The management of this system is carried out by the Mines Department, upon receipt of the vehicle. This service is divided into fifteen administrative regions (maps) called mineral districts, the one of Marseille including in the first years the 3 regions of North Africa (Algeria, Morocco and Tunisia) as well as Monaco.