I would vouch for the implementation of paratrooper-specific weapons.
The Fallschirmjägers would receive the FG42. With its relatively large 7.92mm calibre, high rate of fire and 20-round magazine, I think it would make a nice weapon for fast and dirty engagements as soon as you touch the ground. It was also the weapon that was specifically designed for the Fallschirmjägers to use.
Of course, the US Airborne would get their M1 Carbine. More specifically, the variant with the folding stock, especially for the paratroopers! With its 7.62mm calibre and 15-round magazine it would fit the Americans nicely I think.
Some nice tweaks could sort out the balances, methinks.