Did u mean Ryo, cuz Kyo has nothing to do with Karate or the Sakazaki family.
Mr. Karate is the identity Takuma assumes when he decides not to hold back and puts on a tengu mask, and is also Ryo’s and Yuri’s father.
First appeared in 1992 in Art of Fighting as the final boss and is basically a pallette swap of Ryo but faster, and much more powerful, and I believe is the inspiration for Akuma/Gouki (flame?):
Mr. Karate next appeared in the 3D game, Fatal Fury: Wild Ambition for PSX in 1998, but this time it is Ryo that is Mr. Karate as he has inherited his father’s title but without the mask:
Takuma is back as Mr. Karate in SVC:
In 2005 Ryo appears yet again as Mr. Karate in Neo Geo Battle Coliseum, but not the same version as FFWA Ryo…no comboable air Haoh Shoukouken, and FFWA Ryo’s new moves… -_- :