In Arcane Albion, the primary division of magic is between perception and influence.
Perception magic is supernaturally enabled sensing, knowledge and understanding; it is very common, and it is held by many that everyone is capable of developing it with training. Influence magic, on the other hand, is a lot rarer, though still quite prevalant at 0.1-2% of the population depending on domain. Influence magic is based on guiding processes and systems, whether that be crystal formation in a cooling piece of metal, or hormone production in the human body. Whilst it can push systems in unusual directions, magic is still limited to what is physically possible -- a life mage cannot regrow an arm in a few seconds, even if they are an archmage. The speed of light remains an immovable constraint, though this is not much of a problem for mages who are only operating on Earth.
The secondary division of magic is into domains: environmental, material, life, and psyche.
Environmental magic is all about knowing what is going on in the environment around you. Almost all environmental magic is perception, and it is by far the most common kind. This is the sort of magic that enables perfect shots and uncanny dodging, and is the primary source of knowledge seers use to produce reasonably accurate predictions about the near future. There are are very few influencer mages; the few who can are able to do things like affect the process of raindrop formation in clouds, which is useful but not world changing. Environmental perception magic returned to the world in 2014, and upended the 2016 Olympics.
Material magic is, as the name suggests, magic relating to materials. Perception mages can look at a piece of steel and determine its weak points, how it will break, what its strength and limitations are; and if working the piece, can adjust their smithing in real time to maximise its quality. Influencer mages, on the other hand, can sit with the steel as it cools and get it to form into a single crystal, and can ensure that alloying elements go where they are needed rather than where random mixing puts them. Perception material magic returned in 2014; it would not be until 2034 that influencer material mages were clearly shown to exist, though there were a few incidents earlier that in retrospect were inadvertant uses of such magic (e.g. lead apatite based superconductor fabrication). Material magic enables the affordable production of all manner of supermaterials, from high temperature superconductors to metamaterial based pigments, which form the basis of magitech.
Life magic is, naturally, about life. What it is doing, what it will do. Botanical mages can hold a seed in their hand and determine what traits the resulting plant will possess; after these abilities were awakened in 2014, it revolutionised the fields of plant and animal breeding, offering orders of magnitude acceleration when paired with lab based techniques to shrink generation time. In medicine, just knowing what is going on in a body with a touch meant illnesses could be precisely diagnosed long before any symptoms have appeared, and what effect a given drug would have.
Whilst it would not be until 2020 that influence life magic became possible over most bodily systems, certain individuals in 2014 gained the ability to influence the nervous system, both central and peripheral, which enabled active healing intervention -- for example, inducing a fever in a specific part of the body. Post 2019, healers became capable of going much further, including inducing the human body into an only mostly dead state to dramatically extend the golden hour in trauma medicine, and it is typical for any life mage who has the potential to learn how to do this. As with selective breeding, when combined with existing scientific methods it becomes incredibly more powerful -- a life mage can put an individual into a very deep state of suspension to enable surgery, whilst a surgeon capable of perception magic can ensure their cuts are precise and dramatically reduce the risk of damage, and after surgery magic can help the body recover and avoid rejection if, for example, a new organ has been transplanted. Which may well have been produced in a laboratory by a mage shepherding cells over a scaffold.
Psyche magic is, as the name suggests, telepathic magic, and had the most dramatic and noticeable effect on the world following the 2014 Awakening (wherein it returned in full), as not only humans are capable of it. The psychic cries of animals rendered certain industries non viable overnight -- few were willing to work in a place where the tortured screams of pigs in pain were a constant companion in ones head. Mariners fell asleep to the mournful songs of the whales; poachers were driven mad by the concentrated psychic attacks of elephant herds.
Psyche magic is the most common domain for influence magic, with 2% of the population being capable of some degree of it, though almost all such mages are (thankfully) limited in scope -- the extent is typically something like calming an individual having a panic attack, or used offensively, inducing hesitation and confusion in the target. Perception is used more frequently, such by detectives, who can discern whether or not the person they are interviewing is hiding something, and through means of targeted questioning attempt to figure out what it is that is being hid. One of the biggest uses is in reading crowds -- it is not uncommon for artists to have a dynamic setlist that is altered according to the response they sense. All the same, it is the most terrifying of magics, with rumours abounding about archmages being able to possess unwitting individuals, and many theories about which politicians are being mind controlled. That it is the hardest to control -- what prison can hold someone who can commune with the gulls by thought alone? -- adds to the terror.