As Iain says, there really isn't that much variability in British WW2 kit for infantry - the number of Bren guns in any infantry company increased towards the end of the war, PIATs replaced Boyes rifles
2 pounders originally started in the hands of the infantry, but by the time of the 6pdr AIUI AT guns had been passed back over to the RA.
Artillery whole war consisted largely of 25pdrs with some 105mm SP guns during the NA campaign, and later Pack Howitzers (75mm) for the Paras.
Tanks obviously had the greatest variability throughout the war, but they weren't exactly that numerous in the battle of France (stat up the Matilda 1, 2 and Vickers light Mk VI and you're set). In Africa all you need is the early cruiser marks, before you stray into Valentine, Crusader, early (a few 6pdr) Churchills...
Air assets also saw a great deal of flux, and in NA the 8th army certainly had access to plenty... Warhawks for the most part, Havocs (Boston IIIs as far as the DAF was concerned) and cannon armed Hurricanes IIRC.