Taekwondo

Taekwondo is a Korean martial art which is a blend of the indigenous Korean fighting styles of taekyeon, gobeop and suak, with influence from foreign martial arts such as kare and Chinese martial arts.

There is emphasis on speed and agility. Kicks also seem to be the main focus.

In games:

Juri from Street Fighter:

Juri by Alexnegrea 

Chae Lim from KOF:

Baek Doo San from Tekken: 

As can be seen in the games, the clothing does not necessarily represent the fighting style , however a few characters have the South Korean flag on the clothing somewhere.