I want to point out that the system that HEMA teaches (all though done usually by teaching longsword first) is a multi-weapon + unarmed system. A given technique that you can do with a longsword can also be done with a pole-axe. A pole-axe us better suited for armored combat (Harnischfechten) and a sword is better suited for unarmored combat (Blossfechten).
Although its worth pointing out, there are Harnischfechten techniques for longsword commonly referred to as half-swording (and you almost NEVER see these in movies). Btw, the unarmed component is called Ringen.
P.S. There are two similar schools for HEMA, the German and Italian school, my terms used above are the German terms. Most of the difference is either style, terminology or quite subtle.
There are also a lot of other non-HEMA historical european martial arts groups and less historical EuroMA. For instance you can find stick fighting most palces, Jogo Do Pau is Portuguese stick/staff fighting, Savate is French kickboxing usually with cane and maybe some sailor stuff, Zipota is similar, but from Basque Spain. Lots of herding cultures kept this stuff alive and whether it is MMA or something else they seem to be getting more attention.
Although its worth pointing out, there are Harnischfechten techniques for longsword commonly referred to as half-swording (and you almost NEVER see these in movies). Btw, the unarmed component is called Ringen.
P.S. There are two similar schools for HEMA, the German and Italian school, my terms used above are the German terms. Most of the difference is either style, terminology or quite subtle.