There were some weapons that pretty commonly used by Germans during WW2 on various fronts.
These are following,
Schmeisser Mp-41 , 26,700 of them produced by Germans and mostly used by SS troops during the war.
Mas-38 ( MP722(f) ) , After the conquest of France, The German army seized the MAS plant in 1940 just as the MAS-38 was entering large-scale production. The Germans accepted the gun as a substitute standard weapon, naming it the 7.65 mm MP722(f) . They continued production of the gun for their own armed forces.
Suomi Kp/-31 , 3,042 were ordered by Germany from Finland during WWII and likely issued to the Wehrmachtand SS.
Panzerschreck , no explanation needed for this I guess.
StG 44 / Mp-44(for Battle of Berlin Campaign) , finally we got Mp-43/1 in Normandy with the accurate name. Along with some minor changes, we need Sturmgewehr 44 in Berlin as well.