When it comes to World War II, nations like Germany, Italy, Japan, Soviet Union, United Kingdom, United States, Poland, China and etc. come to mind, but countless nations or even factions that are forgotten by little involvement, neutrality and even short-lived. Here's what this mod is dedicated to.
Here is another example of the capture of Allied weapons by the axis and their use by French militia units in the service of the pro-German Vichy government: Not just the French Mas-36 rifle, it is possible to see the British Lee Enfield Mk.III rifle
The weapons present in France (whether French or British) were seized as early as 1940 by the German Army, especially in the Northern Zone (Occupied zone), where the BEF had been engaged (like Dunkirk, for example).
If the "Milice" used the Armistice Army's weapons stockpiles, located in the South Zone (Free zone), it was not there that they would have found Lee-Enfields. Rather in captured parachuted Allied containers, where the particular .303 British ammunition was widely supplied.
Cheers.