The Battle of France would be, for me at least, seemed like a more balanced campaign over what we see in other campaigns, although there would be some caveats to this. This is because the weapons used by both the Germans and the French/British forces are similar enough.
And as such, this is what I imagined the weapons loadout would look like.
Your rifles would look like this:
Allied:
-Lebel 1886
-Berthier 1907/15 M16
-Berthier 190715 M34
-MAS-36
-RSC Mle.1918
-Meunier Rifle
(the Meunier or the RSC could be replaced by the Winchester Model 1907 semi-auto rifle, but it is less fitting. Both the Meunier and the RSC had no record of being used in WW2, as the RSC was soon turned to strictly straight-pull rifle and the Meunier being a prototype did not see full service.)
Axis:
-Gewehr 98
-Gewehr 98/30
-Karabiner 98K
-Vz 24
-ZH-29 (5 rounds version)
-Mondragon Rifle
(you can see that the two final semi autos for the Germans are chosen because the Germans did not have their own semi-auto rifles during the Battle of France. The ZH-29 has no record of being used by the Germans, but it is likely they would have used it in small quantities. The Mondragon was used by the Germans in WW1 and while there is a lack of evidence the Germans used it during WW2, there is a chance they would have used it as a reserve weapon.)
SMGs:
SMGs are not that common in the French and British armies, which causes a bit of an issue. The Germans, on the other hand, had a plethora of designs to choose from. The issue is balancing these SMG that while different, each would have their own strengths. And as such, the French/British armies would use a weird mixture of SMGs from all around the world.
Allied:
-Erma EMP
-MAS-38
-Thompson M1928 (30 rounds Stick Magazine)
-Thompson M1928 (50 rounds, mafia styled, drum magazine)
Germany:
-MP 34 (O)
-MP 38
-Beretta M1938
-Suomi Kp 31 (50 rounds box magazine)
If anyone has a better SMG list, just tell me, please. I need you!
Machine Guns:
Allied:
-Chaucat
-FM 24/29
-Lewis/Reibel
German:
-MG 13
-ZB 30
-MG 34