Fencing is a (not so LARPy) combat sport in which two athletes use swords to attack and defend against one another with the aim of striking his opponent.

There are three disciplines in fencing, each represented by its own weapon, set of rules, and target area.

Épée:
https://www.youtube.com/watch?v=88mBQ2u2Wb0

Foil:
https://www.youtube.com/watch?v=g-P_q5gdvRM

Sabre:
https://www.youtube.com/watch?v=4ipiJFlU_Dg