As Dave suggests, I have breakdowns of infantry companies for the following types of infantry battalions in the Handbook, listing number of squads and suggested SW/leader mix (though this is based on the formula in the ASLRB in any event):
(I also have a complete index of all the Steven Swann, Charles Markuss, Craig Posey, etc. nationality articles listed in the book so you can tell which nationalities and force types have been covered and which haven't, and more importantly, where to find them (which Journal, General or Annual) - but bear in mind the only articles dealing with specific company breakdowns tended to deal with what we today call "special forces".)
Allied Minor
Belgian Infantry Battalion May 1940
Greek Infantry Battalion October 1940
Greek Cavalry Battalion October 1940
Dutch Infantry Battalion May 1940
Dutch Infantry Battalion Dec 1941
Norwegian Infantry Battalion April 1940
Polish Infantry Battalion September 1939
Yugoslavian Infantry Battalion April 1941
Axis Minor
Hungarian Infantry Battalion
Romanian Infantry Battalion June 1941
British
British Infantry Battalion 1939-1942
British Infantry Battalion 1942-1945
British Motor Battalion 1940-Apr 1942
British Motor Battalion Apr-Sep 1942
British Motor Battalion 1943-45
British Parachute Battalion 1942-43
British Parachute Battalion 1943-45
British Glider Battalion 1944-45
British Independent Company 1940
British Commando 1940
British Army Commando 1943
Australian Jungle Battalion 1943-45
Chinese
Nationalist Chinese Infantry Battalion
Finnish
Finnish Infantry Battalion 1939-40
Finnish Infantry Battalion 1941
French
French Infantry Battalion 1939-40
French Motorized Infantry Battalion 1939-40
French Motorized Dragoon Battalion (type DLC) 1939-40
French Motorized Dragoon Battalion (type DLM) 1939-40
German
German Infantry Battalion 1939-42
German Grenadier Battalion 1943-45
German Mountain Troop Battalion 1939-1945
German Schützen Battalion (Motorized) 1939-42
German Schützen Company (Armoured) 1939-42
German Panzergrenadier Battalion (Motorized) 1942
German Panzergrenadier Battalion (Motorized) late 1943
German Panzergrenadier Battalion (Motorized) 1944
German Panzergrenadier Battalion (Motorized) late 1944
German Panzergrenadier Battalion (Armoured) late 1943
German Panzergrenadier Battalion (Armoured) 1944-45
German Cavalry Battalion 1939-1941
German Cavalry Battalion 1944
German Parachute Battalion 1939-42
German Parachute Battalion 1943
German Parachute Battalion 1944-45
Luftwaffe Field Battalion 1942-43
Italian
Italian Infantry Battalion 1940
Italian Infantry Battalion 1941
Italian Infantry Battalion 1942-43
Japanese
Japanese Infantry Battalion 1939-45
Japanese SNLF 1940-45
Japanese Airborne SNLF 1941-42
Japanese Raiding Regiment 1944
Japanese Glider Regiment 1944
Partisan
French Secret Army and FTP Tactical Organization (manpower only)
Russian
Red Army Infantry Battalion 1939-41
Red Army Reduced Strength Inf Bn Jul 1941
Red Army Infantry Battalion Jan-Jun 1942
Red Army Infantry Battalion Jul-Dec 1942
Red Army Infantry Battalion 1943-45
Red Army Reduced Strength Infantry Bn 1943
Red Army Rifle Brigade Battalion 1941
Red Army Rifle Brigade Battalion 1942
Red Army Mountain Company 1940-Apr 1943
Red Army Mountain Company Apr 1943-1945
Red Army Mountain Battalion 1944-45
Red Army Ski Battalion Winter 1941-42
Red Army Ski Battalion Oct 1942-1945
Red Army Line Squadron (cavalry) 1939-41
Red Army Motor Rifle Company 1939-41
Red Army Light Cavalry Squadron 1941
Red Army Line Squadron 1943-45
Red Army Motor Rifle Battalion 1939-40
Red Army Motorized Infantry Battalion 1941
Red Army Infantry Battalion (as in Tank Brigade) Aug 1941-Dec 1941
Red Army Motorized Rif Bn Dec 1941-Jul 1942
Red Army Motorized Rif Bn Apr 1942-Nov 1943
Red Army Motorized SMG Battalion (as in Tank Brigade) Nov 1943-45
Red Army Motorized Rifle Battalion (as in Mechanized Brigade) Sep 1942-45
Red Army Para/Glider Bn Nov 1940-Sep 1941
Red Army Parachute/Glider Battalion Sep 1941
Red Army Parachute Battalion 1943
United States
US Army Infantry Battalion 1942-45
US Army Armored Infantry Battalion 1942-43
US Army Armored Infantry Battalion 1943-45
US Army Mountain Battalion 1945
US Glider Infantry Battalion 1942-44
US Parachute Infantry Battalion 1942-45
US Glider Infantry Battalion 1945
USMC "D" Series Infantry Battalion 1942-43
USMC "E" Series Inf Bn Apr 1943-May 1944
USMC "F/G" Series Infantry Bn May 1944-1945
