All the units are represented on the map and in the tech tree with a unit symbol. These have correlation, of course, to the type of unit they are. What are all the different types?
Here we have a (non-exhaustive) list for the Allied doctrine:
Infantry:
Militia
Infantry
Motorised infantry - Jeep
Mechanised infantry - M3 half-track
Commandoes
Ordnance:
Anti-tank
Gun artillery - 25-pdr?
SP gun artillery - M7 Priest
Anti-aircraft - QF 3.7-inch AA gun?
SP anti-air - M3 variant of some sort?
Tanks:
Armoured car - Daimler Dingo
Light tank - M3 Stuart
Medium tank - M4 Sherman
Heavy tank - M6
Tank destroyer - M3 Gun Motor Carriage
Aeroplanes:
Interceptor - Supermarine Spitfire
Tactical bomber - B-26 Marauder
Attack bomber - Douglas SBD Dauntless
Strategic bomber - B-17 Flying Fortress
Naval bomber - Consolidated PBY-5 Catalina
Warships:
Destroyer
Submarine
Cruiser
Battleship - King George V-class battleship
Aircraft carrier - USS Lexington?
Transport
Secret:
Rocket artillery - Mattress
SP rocket artillery - T34 Calliope
Railway gun
Flying bomb - V1 "Doodlebug"
Rocket - V2
Rocket fighter - Messerschmitt Me 163 Komet
Atomic bomber - B-29 Superfortress
Nuclear rocket

What are some of the rest? What about other doctrines, or higher level tanks and ordnance?