Anything involving magical energy focused through the caster's will would be magic, thus there are pretty much limitless types of spells, bogged down only by imagination and game mechanics. Obviously there is some kind of rule preventing people from making mountains out of thin air, but I don't recall anything as specific as, say, Eragon's "same fatigue as it would doing it yourself" rule. Thus there are quite a few things you could do with it.
But, since the categories of magic, even if they are just names and systems, are the basis of the question, and he is asking in the context of these systems, supposing such laws exist, I would go so far as to say that a few I would say should exist, even if they are necessarily in lore, such as: geomancy, shapeshifting, some kind of destruction magic focusing on wind, and other things that we find in other fantasy universes. But, these are not there due to game mechanics, same reason as necromancy, thu'um, and the like.
But, if you define the categories broadly enough, saying anything that physically changes a material substance without using it for injuring something else is alteration, then you can fit everything in those. But certain fields are broad enough that they should recieve recognition, such as necromancy. Thus we have a problem.
So, in essence, in lore you are bound to find examples of non-categorized magic, but even if we are to assume magic is limited to the spells we read about or see, the question rests entirely within the definitions, with no true answer. It is surprising how many questions behave this way, when what you are trying to determine is something created by humans, not just in lore but in life.
Well, my philosophical moment is done for the day, so I bid you all goodnight