There are actually many kinds of magic. I will give you a list of some.
Magical Speciality
Witch
Wizard
Colors Magic: White, Black, etc.
Blackened Magic and Whitened Magic: Final Fantasy
Voodoo
Occult
Necromancy
Elements Magic: Pyromancy, Aeromancy, etc.
Santeria
Witch Doctor
Not to discourage you, but you might be confusing the terms.
Magick: A neutral energy found in nature that brings natural desired changes
Witch: A gender-neutral term for a person who practices witchcraft
Witchcraft: A way to connect with the magick and natural world to bring change. This can be combined with a spiritual path, but no deity veneration is required to practice witchcraft.
Wizard: Pop culture name for a male witch. While some male-identifying witches are trying to reclaim the term wizard , it's far more common to go with the gender-neutral witch .
Warlock: Ancient word for oathbreaker. As with wizard , some are choosing to reclaim warlock , but most see it as an insult for its ancient meaning. [just throwing that out there as I've noticed people using the word]
Craft: short for witchcraft .
Colour magick: utilizes colour correspondences in your craft to attract/repel a desired outcome. This could be used by lighting a specific candle, placing a piece of construction paper under a glass of water so the water can absorb the energy of the colour, or wearing a specific colour to embody the colour's energy.
Voodoo: An initiatory closed practice combining African practices, rootwork, and catholicism into a unique faith.
Hoodoo: the spells and magick work used on Voodoo.
Santeria: Similar to Voodoo, but utilizing Cuban practises
Witch Doctor: A medicine worker of a POC magickal faith. [some argue this term is racist]
Occult: A spiritual movement from the 18th century, most Occultists today work with demons and "darker" elements of witchcraft.
Elemental magick: utilizing elements in your craft [burning rituals, baths, grounding, singing]
Necromancy: a spiritual path that works with spirits and death [they do not resurrect people]
Things like blessings/curses/illusions are types of spells you can cast. All magick is the same source but the way you work with this energy varies by the type you specialize in. Chaos magick, for example, is still ruled by nature [so you can't believe in chaos magick and be granted the ability to fly on the physical] but it's got fewer rules. For example, some witches might believe you can't worship a character from a show. Chaos witches would believe enough people like the character that it's become an egrigore [a spirit that exists because people's love of the character gave it energy so it became like a spirit] and therefore you can call on the character for guidance.
I forgot about Warlock. It is another one. I like your response. I gotta study some more peoples content. I can actually do many of them well but I want to see what other people shared.
Witch is just the term. Magick is a neutral energy that brings change. You tap into this energy and focus your intention into it [which gives the magick a positive or negative charge] then direct it on a specific path through a spell casting to achieve your goal. How you choose to connect with magick and cast spells determines the type of witch you could identify as.
Hedge witch: A solitary witch who studies plants.
Kitchen witch: A witch who infuses their cooking with magick [I'm a kitchen witch]
Eclectic witch: A witch who takes a little bit of everything from everywhere [me again]
Chaos witch: A witch who utilizes pop culture and fantasy in their craft. Many also view the flow of magick differently. Magick can go through time and space [and dimensions like fantasy realms] to create the change. This doesn't mean chaos witches can defy natural law, it means they are tapping into a more chaotic form of magick so it will bring a more chaotic change [example, I've known a few Loki devotees who learned how to stay calm in chaos by their lives crumbling around them. If you want confidence, chaos magick will throw a bully in your path]
Sea witch: a witch who primarily works with the water element.
Christian witch: A witch who follows biblical scripture [most Christian witches I've met are far more Christ-like than regular Christians]
Jewish witch: A witch who practices Kabalah and ancient Jewish mysticism.
White witch: While magick is intention, not colour, someone who identifies as a white witch focuses on a more "love and light" path.
Faerie witch: A witch who works with the fae.
Point is, witch is the common name for someone who practices witchcraft and whatever goes in front is the primary field of study. If you don't resonate with this idea or any label like "cosmic witch" or "psychic witch" you could just use witch.
Magic is simply magic. It is the gathering of energy from various sources and directing it to the accomplishment of a specific goal. This holds true for any magical practitioner. The forms of the accomplishing it might be different, but the magic remains the same.
Magic has no color. It is not black, white, green or paisley. It is the intent of the magic user which matters, but the energy they move and direct has no color.
Some of the things you mentioned such as Necromancy, Pyromancy, Aeromancy are forms of divination rather than what might be deemed magic. Necromancy is divination through talking with spirits. Pyromancy involves scrying with fire and Aeromancy is scrying based on movements of the air.
Several of the things you mentioned such as Voudou, Santeria, Hoodoo, etc are actually Afro-diasporic religions brought to the new world by African slaves. These religions do use magic in their rituals but the only difference in that magic from any other are the religious overtones in what they do.
Occult is a word that means "hidden". This can apply to magical practices, but it can apply to many other things as well.
And finally, a number of things you mention here such as the terms associated with Final Fantasy are strictly fictional and drawn from Hollywood movies and pulp fiction. Harry Potter magical ideas, as an example, are not in any way real magic.
