Martial Arts are systems of codified practices and traditions of training for combat.

Mixed martial arts (commonly referred to as MMA): a combat sport in which two competitors attempt to defeat each other by potentially utilizing a wide variety of fighting techniques, including striking and grappling.

Kickboxing: A martial art and sport of attack and defense, in which competitors wear boxing gloves and throw punches as in boxing and kick with their bare feet as in karate.

For a full list of styles please visit: WikiPedia.org