The ability to have better fighting skills than what is naturally possible. Advanced version of Enhanced Combat.
Supernatural Fighting Skills
Users possess immense combat skills, both offensive and defensive, which may be innate, honed or both.
This encompasses speed, strength, precision, reflexes, technique, analysis, control, adaptation and all aspects of practical fighting. Depending on the users, they may be specialized on specific types of weaponry (melee, ranged, natural, etc.), and invariably wield them with surreal efficiency. Most observers are simply incapable to understand what's happening, only a user being able to gauge the skill of another.
All Claymores (Claymore) possess combat abilities far above human limits.
Teresa perfected her combat skills to vastly superhuman levels, to the point even the strongest awakened beings call her a monster.
Priscilla's combat skills increased tremendously during her awakening, taking down an above-abyssal awakened without sustaining any damage.
Alicia is one of the most skilled warriors, both in human and awakened form, thanks to her enormous natural abilities and extreme training.
Hashirama Senju (Naruto) Konoha's First Hokage, was so incredibly skilled he was titled God of Shinobi.
Scathach (Valkyrie Crusade) is the goddess of melee and magic.
Yang's (Final Fantasy IV) combat skills are so highly trained that he is capable of fighting and defending against an army of soldiers and monsters all by himself.
Aside from his immense power, Raiden (Mortal Kombat) has an encyclopedic knowledge of over 700 martial arts fighting styles, which no human, mortal or any other God has.
Shao Kahn's (Mortal Kombat) fighting prowess, as well as his necromancy, astral manipulation abilities and his immense godly strength are so high, it enables him to fight on equal footing with Raiden and is why Shao Kahn is the most dreaded emperor of the realms.
Sairaorg Bael (Highschool DxD) a Devil who is also a martial art master able to defeat High-Class Devils using pure might and skill
Yoruichi Shihoin (Bleach) is one of the greatest martial art masters in Soul Society, able to take down a entire squadron of highly skilled Hakuda experts in seconds.
Raidou (Dead or Alive) is a extremely dangerous ninja due to his immense power and supreme fighting skills.
Kurumi (Date A Live) as an S-Class Spirit can destroy an army of Bandersnatch robots by herself.
Yaiba (Ninja Gaiden) is called the Demon Ninja due to his immense power and fighting skills which are nearly on par with Ryu.
Ryu Hayabusa (Ninja Gaiden) as most powerful ninja ever existed, is capable of slaying the most powerful supernatural beings such as Greater Fiends and Archfiends.
Esdeath (Akame ga Kill) hailed as the strongest warrior of the Empire, can single-handedly annhilate armies and even Teigu users.
Heihachi Mashima (Tekken) is powerful martial art master able to fight Devil Kazuya on equal level.