Lets Put ot like this Magick is Magick with no type, its a change, and to me, the technique used and result of that technique define its type, if it heals its healing magick, if it harms its black magick or curse, if you use voodoo to heal, its voodoo healing magick etc, If you use dragons perhaps its draconian magick, if angeks then amgelic magick .. list can be endless in this.. But at last Magick is magick, wherever, However or for whatever it's used, defines it.
But if you mean level and category of magick I'll say there are perhaps three types of magick..
High magick : ceremonial or most done for self growth or experience
Low Magick: Day to day common stuff like health, job, love etc.
Alchamy: Spiritual Alchamy ( I have no knowledge of this field)