What I've tried to do here is list some of the common tank terms used during W.W.II by the German armed forces, and given the English translation. I can't speak German, so forgive any grammatical inaccuracies.
German Translation Example
Abteilung Battalion Abteilung 502
Ausfuhrung Model Used to denote version - e.g. Ausf. H
Entwicklung Project (development) E100
Granatwerfer Mortar
Habitze Howitzer
Jäger (Jagd-) Hunter (Hunting) anti-tank weapons e.g. - JagdPanther
Kampf Fight (fighting) AFV
Kampfwagenkanone Tank Gun
Kaliberlänge Caliber length
Panzer Armour (armoured) AFV
Pferde-Stärke Horsepower
Produktion Production
Saukopf Pigs Head i.e. the shape of a gun mantlet. 
Schürzen Side (skirting) side armour
Sturm Storm (assault) SturmTiger
SonderKraftFahrzung Ordinance Inventory Number
Wagen Vehicle AFV

Below is a list of some of the various tank classifications used in the War

Type Translation
BergePanzer Recovery Tank
Brukenleger Bridge Layer
ExerzierPanzer Training Tank 
Falmmenwerfer Flame thrower tank
FlakPanzer Anti-aircraft Tank
Funkpanzer Radio Tank
Gross (Schwer) Heavy Tank
Ladunsleger Charge layer
LeichtePanzer Light Tank
MittlenmPanzer Medium Tank
MöbelWagen Furniture Van
Munitionsschlepper Munitions Layer
PanzerBefehlswagen Armoured Command Vehicle
Panzerjäger Tank Destroyer
SchnellKampfWagen Fast fighting Vehicle 
SchwimmPanzer  Amphibious Tank
Selbstfahrlafette Self-propelled
Sturmgeschütz Assault Gun (StuG)
Sturmhaubitze Assault Howitzer (StuH)
TauchPanzer Driving Tank

The following is a list of nick-names given to German W.W.II AFV's

Type Translation
Brummbär Grizzly Bear
Grille Cricket
Hornisse Hornet
Hummel Bumblebee
Kugelblitz Fireball
König King e.g. KingTiger
Leopard Leopard
Luchs Lynx
Nashorn Rhino
Ostwind Eastwind
Panther Panther
Tiger Tiger
Wespe Wasp
Wirbelwind Whirlwind

The following is a list of  German W.W.II company names

Abbreviation Name
BMW Bayerische Motern Werke
DB Daimler Benz
FAMO Fahrzeug und Motorenbau GmbH
Hanomag Hannoversche Maschinenbau AG
H Henschel & Sohn
KD Krupp-Daimler
Kp Krupp
MAN Maschinenfabrik Augsburg Nürnberg
MIAG Mühlenbau und Industrie AG
M Maybach
P Porsche
RhB Rheinmetall-Borsig
SSW Siemens-Schuckert Werke
 

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