I have a magic system that I kind of… stole… from other genres, but I thought it was neat. I'm just going to have to change the names so that I'm not liable to get sued by the original owners (it will be pretty clear in a moment).
The two kinds of magic in my world are Bending and Animus. Of the three races, Dragons can use both, Humans can only use Animus effectively, and Wyverns can't use either (but they have their own evolutionary adaptations to make up for it).
Bending is elemental magic, the kind found in The Last Airbender. However, Bending magic is far more versatile and requires less rigorous movement to use it effectively. It still acts like a martial art with the gestures and stances changing how each element will move in accordance with your body. Dragons, however, don't have standard martial arts that are taught like humans do, so a lot of Bending relies on sheer focus and force of will to get things done. Dragons born with magic can have insane prowess, but it takes years to master an element. A Bender can only control the element they have a natural affinity towards, but the possibilities are endless. They can move mountains, part seas, cause great conflagrations and storms, very nearly all magic users were wiped out in a war 3,000 years prior due to the threat they could pose. Humans can technically learn Bending, but it takes far longer to make even a modicum of progress. Twenty years of non-stop training allows a human Bender to lift a small boulder, unclog a drain, start a small fire, or cause a gentle breeze with extreme difficulty. Not really worth it.
Animus magic, loosely based on the system from Wings of Fire with the same name (you see why I have to change these?), is all about enchantments. They can be either permanent or temporary, but each enchantment can be whatever the caster wishes as long as it is written or spoken aloud. However, Animus magic takes energy, and complicated enchantments or ones placed on large structures or living organisms take a lot. An inexperienced Animus can have all of the energy sucked out of them if they try to do too much. Dragons have the ability to enchant a lot of things, including animals other than humans, wyverns, and dragons, and large structures aren't as dangerous. There are legends of an ancient Animus that caused a mountain to crumble on top of an invading army, but they have since faded into myth. Humans can be born with Animus magic, but most of them have decided to stick with a "theme" that they revolve around. One guy uses clothes and cloth, another uses paint, and one even uses small houseplants, though that takes quite a bit of effort. There have been rumors of Animus that modify their bodies in some way, but those are old wives' tales, according to many.
Going back to the magical war that was mentioned earlier, so many magic users were wiped out that, on a continent of 1 billion including Dragons, Wyverns, and Humans, only about 300 magic users remain. This also includes my main characters, who are Half-Dragons. They both have Bending to a much greater degree than humans, but they can't pull off the feats that draconic Benders can. They can certainly get the job done, despite being the only two of their kind.