In the infantry you can get alot of different qualifications-
NVQs from doing signals courses and other specialist stuff
My battalion (im not a para) has a pioneer platoon, who do all the battalions sign writing, framing plaques, engraving and various other stuff.
We also have a tailor shop staffed by squaddies who go off and do various tailoring courses.
Thats all the stuff i can think of for now, though there is probably more that you can do.