Western, non-Asian martial arts (and do not use weapons) that I can think of:
Boxing (from Greece) Boxing - Wikipedia, the free encyclopedia
Wrestling (from Greece) Greco-Roman wrestling - Wikipedia, the free encyclopedia
Penkration (from Greece) Pankration - Wikipedia, the free encyclopedia
Savate (from France) Savate - Wikipedia, the free encyclopedia
Capoeita (From Brazil) Capoeira - Wikipedia, the free encyclopedia
All of these have their roots at least a Fifty to Century old.
If you are interested there are articals in old dragon magazines for 1ed OA martial arts for Boxing, Wrestling, Penkration and Savate. And a Class for 1ed style for Capoeita based class.
Boxing (from Greece) Boxing - Wikipedia, the free encyclopedia
Wrestling (from Greece) Greco-Roman wrestling - Wikipedia, the free encyclopedia
Penkration (from Greece) Pankration - Wikipedia, the free encyclopedia
Savate (from France) Savate - Wikipedia, the free encyclopedia
Capoeita (From Brazil) Capoeira - Wikipedia, the free encyclopedia
All of these have their roots at least a Fifty to Century old.
If you are interested there are articals in old dragon magazines for 1ed OA martial arts for Boxing, Wrestling, Penkration and Savate. And a Class for 1ed style for Capoeita based class.