For the TL;DR crowd: How should a writer go about creating believable fantasy martial arts for non-human and superhuman characters that lend themselves to coherent action scenes without relying too heavily on magic?
The bigger, longer and uncut version:
There is something about fantasy combat that has always bugged me. In a lot of written fantasy I've read, you tend to get these really generic sounding if not outright vague descriptions of what is going on during a fight, leading to scenes that are unnecessarily hard to follow. Or you end up getting lots of time in a specific character's head as they muse on the fight, or the larger scale battle, or what have you to give you the impression of violence. Either way, the lack of details hurts the writing and yanks you out of the experience in a way that a movie or video game wouldn't. Additionally there is the patented Bullshido WankFu writing technique where distinct fighting styles are described as lovingly and poetically as possible... but its all a bunch of unintelligible pseudo-philosophical crap that leaves you just as confused as if the writer hadn't tried at all. EG: Jedi Lightsaber combat.
Related: shonen anime and comic book series that waste their ability to show fights visually by having them be 90% talking about their Kool powahz and ninjaah techniques which... just... look... ridiculous, to the point of being more magic and/or deus ex machina than actually beating people up.
Now, of course a lot of this could be the result of writers that just don't understand the dynamics of a fight very well, are ignorant of the techniques used in ancient and modern martial arts, or even just aren't very good writers in general. However, I don't think that can be all of it-- just how do you depict the fighting techniques of inhuman and superhuman creatures/characters? What would they be? You can't learn this stuff in a dojo because a dojo assumes you don't have angelic wings growing on your back, aren't half the size of a human with the musculature of a cat, and can't breath fire from phosphorus glands in your neck. A big part of fantasy is that not all the characters are humans as we know them, and sometimes the hero has to fight things eight times his size and three times his age, possible undead.
So here is the challenge I lay before you all, whether you are inclined to study real martial arts, medieval warfare, fight choreography (since fights in writing need to be interesting, after all), biology or other relevant sciences:
1) when inventing fantasy fighting styles intended to be used by or against non-human or superhuman creatures what principles of combat, physiology, and tactics should a writer (or fantasy nerd analyst

2) try your hand at creating fighting styles for common fantasy creatures such as dwarves, gnomes, angels, giants, etc. that people can look at to see how #1 works in practice.
3) what dramatic elements of action scenes should be considered most important when actually putting all this into practice, remembering that stories can defy realism if they have to? (indeed, in reality fights can end in seconds even between professional fighters, but you rarely see this in fiction unless its supposed to prove a point)
Feel free to discuss unarmed combat, weapons based combat, fantasy combat set in modern settings (urban fantasy needs more love), and ranged weapons. However, much as I like to think that marksmanship is a martial art please try to keep discussions of modern weapons to personal weapons, not tanks and bombs. At a certain point the physiology of a species becomes moot due to technological change (I.E. an artillery duel is an artillery duel is an artillery duel even if the people manning the guns are gnomes). Likewise, the implications of magic spells are beyond the scope of this thread, and this thread is already close to me trying to drink a lake through a straw. Besides, as stated before I'm wary of Naruto type crap where the fighters are magicians in all but name.
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Some prompts/mini-RARs that might get people's creative/analytical minds going:
1) say you are a medieval knight who is sworn to serve in your lord's military. Simple enough. The catch: you come from a family of noble dwarves. As per the D&D 3.5 OGL, you have strength comparable to a human, but are about a about a third less tall (IIRC). Thus, you have an appropriate gait, reach, and draw pull if you were to try and use a bow. You do not have access to firearms, but you do have a loyal armorer who can outfit you with steel armor and weapons. Technology is about equivalent to the fifteenth century, save for that whole gunpowder part as mentioned. Among your Lord's enemies are goblin tribes, which are built approximately like chimpanzees if they were bipedal, conclaves of dark elves which are on average a head taller than humans, and certain human nations who are of course the biggest bastards of them all.
You are a practitioner of traditional dwarven combatives which accommodate the fact that half your enemies are taller than you and the other half are built like freaking chimps. What kinds of weaponry might you prefer? cavalry mounts? Tactics?
2) You are a cherub in an army dedicated to fighting the armies of the Nine Hells. Assume similar technology is available as with the dwarf. You are human save for the fact that you have wings and are capable of flight, and have hollow birdlike bones. The armies of the Nine Hells have gunpowder weaponry, and are composed primarily of Voodoo Zombies and the occasional demons (who are built like you but with bat wings). Biggest question I would have: just how do you protect those beautiful (and useful) wings of yours? Oh, and there is the general hollowness of your bones, too.
3) You are a catperson living in an anime-esque world. The place is fairly modern, but your hometown has a bit of a crime problem which I will get to in a moment. As a catperson you have a more or less human physiology (no fur, but catlike skin patterns) except for the following facts: You have large fangs and jaws capable of both fitting a human arm inside and cracking the bones when you bite down. You also have a long, prehensile tail (this has fur).
About that crime problem. You live alongside ordinary humans and Mutant Freaks that range from talking animals, humans that can be detected with a Geiger counter, to tentacle demons. Yes, I went there

Assuming that you learn self defense from a fellow catperson, how do you expect your bite and prehensile tail might effect the curricula? How might they help you, how might the tail get in your way, how might they effect training methods, etc.? And if you are ever accosted by a tentacle demon, how might you fight one off?
Note: you can buy a gun, but this isn't the US and the laws are more strict. Think somewhere between Canada and Europe in terms of difficulty with obtaining a gun and license to carry. On the bright side, drive by shootings are unheard of here.