Astrological magic could deal with gravity, light, the void, radiation, energy bursts of course, and all of this could be very dependant on star/planet configuration throughout the year, the moon and sun cycles, etc. Tarot and seeing the future could also have to do with this type of magic. For nature magic you might want to check out the wiccans, nature religions, and elemental spirits. The other type of non-nature magic would have to do with more specific Caribbean religions/occult traditions concerning black and death magic (zombies and necromancy, communion with spirits, possessions, demonic magics, voodoo, poisons, curses/hexes, etc).
Just be mindful that the moment you start categorising magic in this way (astrological, nature/elemental, withdoctor-type, etc) you will most likely miss out on innovative, unique, and/or complex magic systems. Categorising everything is something anime/manga does a lot, to be able to calculate power levels and rankings("the sage is as strong as the 3 elder monks put together, he battled them all 3 to a standstill..." or "it's over 9000!"), identify different warriors/clans (ninja of the Mist, ninja of Sound, etc) and to simplify battle tactics (water magic beats fire magic, lvl.5 runic armor is immune against lvl.3 runic swords, etc). Everything is categorised to make the increase in powers and abilities of the MC be linear and his/her growth as a fighter (usually) is therefore simplified. Be mindful of this blatant linearity in skill progression. It has its uses, but lacks opportunities to surprise the reader, and oversimplifies inner conflict regarding growth.