Oldsmobile COE's
 To my knowledge these were only imported to Australia.
Over the years Three have been found but only one has survived

               Note the vertical Bars in the above Grille

Then there are the Horizontal Grille Bars in the one above

One of three Found in Australia

This one has been converted into a Pantec was near Newcastle NSW

This one was found near Murwillimbah in Northern NSW, it is no longer there.

The information below is from James H Schwartz which is greatly appreciated.

The Oldsmobile section you show two (2) 1937/38 Oldsmobile COE's that may
have come GM Export Division (USA).
My question continues to be who designed and built the units for the1937 Olds/GMC
truck AND why were the new 1939 Ford, Dodge, Chevrolet, GMC COE trucks all
look alike or were identical because the engine cowing & engine vent covers are the same.
These trucks look like they came from the factory or drawing board.
I sure know MMC did not have the capacity to manufacture them.

To date nobody will give me an answer except I have found the following information
in unedited raw form on the internet:

Chevrolet  badged C.O.E. chassis debuted for export as well as in Canada [see below]
in 1937 Model Year. It appears that these were supplied C.K.D. not from
Bloomfield Boxing Plant, New Jersey, but General Motors Truck in Pontiac, Michigan
and were very similar to G.M.C. and Oldsmobile C.O.E. trucks also built in Pontiac Plant.
For 1937, as with export G.M.C. and Oldsmobile trucks Hercules Diesel engines
were available as well as Chevrolet 216 cu in engines.

There was also a new C.O.E. 183½-in. Chevrolet bus chassis that debuted in 1937:
Model BG with Chevrolet 216 petrol engine and BD wit Hercules Diesel engine.
These were sourced from Pontiac, Michigan, Plant save for the Canadian chassis
assembled in Oshawa that was offered as a Chevrolet or G.M.C. chassis, the latter
with the Chevrolet derived Canadian Pontiac 224 unit presumably.

The Canadian Parts Book lists the following Maple Leaf C.O.E. trucks [Model 1652/1653/1654/1655/1656/1657], which were an introduction in 1937 Model Year.
These are Chevrolet engined Canadian G.M.C. chassis trucks.
 

MAPLE LEAF SERIES HM C.O.E. STYLE 52-53 2½ TON 108” WHEELBASE

MAPLE LEAF SERIES HM C.O.E. STYLE 54-55 2½ TON 130” WHEELBASE

MAPLE LEAF SERIES HM C.O.E. STYLE 56-57 2½ TON 155½” WHEELBASE

2. 1938 MODELS
 

The brochure pictures below are from a Norwegian brochure showing 1938 model
Chevrolet C.O.E. trucks including the Model TG with 117-inch wheelbase.
These were either assembled in G.M. Nørdiska, Stockholm, Sweden or
G.M. International, Københaven, Denmark.

In Canada, the COE chassis had debuted in 1937 as a truck chassis
based on the GMC F16H truck chassis, which was then adopted for Maple Leaf
in three chassis lengths, and then a bus chassis on Chevrolet and GMC chassis.
However, no "Chevrolet" C.O.E. Truck chassis were available in the U.S. in 1938,
though General Motors Truck Plant, Pontiac, Michigan, produced Chevrolet, GMC
and Oldsmobile badged C.O.E. Truck Chassis for export C.K.D., which differed
in front grille and engines only. The Series TG was assembled by G.M. International, Denmark,
and had a modified chassis to produce the “TG-117 Bulldog Model”,
which was a tractor unit for an articulated trailer.

For more information check the links below
http://home.znet.com/t1937/COE.htm
http://www.oldchevytrucks.com/misc/gmc1936.html

  In Norway, Chevrolet did offer a variety of COE models for trucks and buses.
The cab appears to be borrowed from GMC and it was available with Gasoline
Chevrolet engine or Hercules Diesel engine.
In the USA, Mack trucks adopted the bulldog as their mascot.
 The Norwegian Chevrolets also used that icon on their COE models.