The
Star Model Z-45 was a Spanish submachine gun with production lasting well past the end of the war, which was essentially a copy of the MP-40. It's also worth noting that some other elements of the Spanish Army's equipment of the time, such as their 81mm mortar had similar stories (the mortar being a copy of the German Granatenwerfer 34).
Also, although not Nazi per se the Italian FIAT corporation restarted production of their wartime G.55 fighter for sale to Middle Eastern countries.
And I know its been mentioned upthread, but
this is a good article on France's Ju-52 copy. (And also their copy of the Siebel Si 204, a less well known German light transport of the war.)