Keep in mind that each term’s explanation is the basic description of that type of witchcraft/magick; each individual witch might be a certain type but define it differently, as their practice may be different from the next witch.
Green - Utilizing greenery/plants/herbs/flowers in herbal and natural magick, such as creating blends of different plants or using primarily herbs in spellwork
Hedge - Also known as an astral title, a type of magick that is oriented around more spiritual work; astral travel/projection, lucid dreaming, spirit-work, healing, and out-of-body experiences are all practices included in this magick
Sea - A type of magick derived from materials and abstract ideas involving the ocean and oceanic world. Sea/Ocean magick can be worked using seashells and bones, sea weed, beach sand, driftwood, ocean water, etc. and a sea witch might draw their energy from that of the sea!
Storm/Weather - Magick that is worked by combining one’s energy with the energy of the weather, and most commonly rain. Weather witches will do things like collect rain/snow water, absorb the energy of a lightning storm, “whistle up” or manipulate wind, predict the weather, etc.
Cottage / Hearth - (A slight variation from kitchen) Magick that is weaved, worked, or embued into mundane tasks around the house or for loved ones. Cottage/Hearth magick may be worked into daily tasks such as cleaning, cooking, or any hobbies
Kitchen - Magick that is worked specifically through “kitchen craft” such as herbal mixtures, brewing, baking, and cooking, and honors many aspects of the natural world: including herbs, crystals, fey, and the elements
Tea - Those who drink tea, make tea, use tea-leaf divination, or enjoy blending herbal remedies! A variant of Kitchen/Cottage witch
Tech - Magick that is skillfully worked through technology! A tech witch will most likely have at least a few magickal apps on their phone, digital sigils, or an online/digital BoS and/or Grimoire
Garden - While having a garden and/or working in any type of garden; magick that is mostly (if not all) herbal and botanical-related! Garden witches take pride and find it calming or invigorating to work the earth, harvest that which they have planted, and are closely related to Green type
Elemental - Magick that is worked by honoring/acknowledging the 4 or all 5 elements: Water, Earth, Air, Fire, and Spirit. Commonly an Elementalist will dedicate different areas of their altars to each element, call upon them during spells and rituals, and use symbols to represent each
Water - Specifically centered on the element of Water; water scrying, collecting sea/storm/snow/river/spring water, swimming/bath spells and other water-related actives, creating and using symbols associated with water
Earth - Specifically centered on the element of Earth; grounding exercises, rock/soil collecting, strong appreciation of the natural world, creating and using symbols associated with earth
Air - Specifically centered on the element of Air; working with wind, using air-related tools (such as the wand), creating and using symbols associated with air
Fire - Specifically centered on the element of Fire; Using anything fire-related (bonfires, candles, burning objects) in most spellwork, creating and using symbols associated with fire
Flora - Much like a Green or Garden witch, those who work majorily with floral materials and flowers in their practice and in their spellwork! Their grimoire may be heavily associated with flowers rather than herbs, and likewise, one might use flower properties in spell or craft work.
Urban Primative/City - For those who live or prefer the urban/city lifestyle; magick that can be worked without the seemingly “traditional” ways of witchcraft
Faery/Fey - Magick for those who communicate and work with the fey during spells and rituals. Usually, those who work with the fey may also leave offerings regularly, as thanks for the assistance of a faery in their spellwork.
Spirit Working - A practice in which the person will perform spellwork in conjunction with or with the help of any manner of spirit. This includes Ouija, (sometimes) demon spirits, spiritual contact, etc.
Draconian - Refers to type of magick for those who call upon or work with dragons and dragon imagery in their practice; whether it be through astral matters or in spells and rituals
Seasonal - Witches who utilize and draw energy from the specific times of year for their magick, sort of how a person might have a strong love or connection to a certain time of year! This can also be spread out into Winter, Autumn, Spring and Summer witches
Embroidery / Sewing / Knit - One who embues magick into household “stitching” or “string” hobbies such as embroidery, sewing, knitting, stringing, and knotting ~ Basically, one who identifies with using knot or chord magick in many different skills
Paper - Magick that is worked with, essentially, paper! Burning paper written with sigils, chants, symbols or spells, creating magickal offerings, items, or sachels from paper, etc.
Music - Magick that is worked with music, musical chimes, or rhythm! Humming/singing, clapping, singing chants during spells, playing instruments (even simple ones, like the triangle or bells), or even just simply playing music during spellwork, magick, or during energy exercises are a few common things a music witch might fancy
Chaos/Chaotic - A type of magick utilizing new, non-traditional, and unorthodox methods. It is a new and highly individualistic practice, while still drawing from other common forms of magick.
Animal - (A variant of Green) Magick that is strongly tied to the animal kingdom, which includes a deep appreciation for all animals, and most often: usage of animal materials in spellwork. An animal witch will most likely be one who loves animals, a person who animals are immediently “drawn” to, and those who appreciate the natural world. Some animal witches might also use bones, wings, feathers, fur, skin, scales, (etc). from deceased animals in their magick, if they choose to do so.
Sanguine - Meaning “blood” or “blood red color” in Latin, a type of magick that deals with blood or other life giving fluid; life blood can also be represented through things such as water, or nutrients. A term for those who work with blood and life-oriented magick!
Sigil - A witchcraft working majorly with sigils, and the intent that can be put into them to active their power
Art/Craft - Witchcraft that can be worked through arts and crafts, simply put! One may embue macgick in creative activities such as painting, drawing, building, cutting, creating, etc.
Grey - A neutral witch, who practices magick that neither benefits or harms others. Grey magick may also both harm and benefit at the same time, balancing and neutralizing.
Bone - Witches who commonly collect, clean, and use animal bones in their magickal practice, and for things like altar decoration or magick-infused charms/jewelry. Materials used by those who identify as Bone witches are usually collected peacefully or after the being has passed on naturally!
Lunar - One who works magick with / honors the moon and it’s energy and phases. This type of witch is also one to favor casting magick during the night hours rather than during the day
Astronomy/Space - (A wider variant of lunar) Those who practice magick and correlate their beliefs in conjunction with the planets and stars! These witches may focus their magick with the properties of each planet, regularly read a horoscope or study astrology, and have a love of the stars and the night.
Energy - Those who prefer to do magick through energy exercises and manipulation rather than with many physical tools or materials; using the enhanced power of the mind and the body’s natural energies to bring about a magickal result or feeling. (Also may include aura work)
Crystal - Magick that is worked commonly with stones and crystals, such as during spellwork or for crystal healing techniques. This may also include chakra balance, crystal meditation… anything that uses crystals, really! A crystal witch may also have an extensive knowledge of stones, including how to identify them and using their properties.
Literary - Those who practice magick through books and literature; a literary witch may do thing such as using book divination, often study witchcraft/magick even after the “beginner” phase of learning, etc. Also a term used to describe witches in stories, books, or movies.
The following information was kindly given by lovely Bedaelia! Her descriptions were so well-written, I decided to simply use her own).
Heathenry - a practice in which the individual follows, works with, and/or worships the Norse deities
Lokean - Someone who works with/worships Loki and/or any of his relations (Hel, Jormugandr, Sigyn, Angrboda, etc) ; does not exclude other deities.
Odinism - A faith that works mostly with Odin, Thor, Freyjr, Freyja, Frigga, and Heimdall.
Asatru - Literally “Faith in the [Old] Gods” it is a more specific branch of Heathenry that worships the major Nordic pantheon, minus Loki, Fenrir, or other “adversary” gods.
More on Heathen Denominations
Gaulish - A practice that involves worshipping Gaulish gods
Kemetic - Worshipping and working with Egyptian deities
Death/Necromancy - A practice that may combine Bone, Animal, Spirit work, occasionally also Blood. Using spirits to empower one self, hoarding bones, using graveyards, graves, the spirits of them, as well as the dirt (or even plants) that are found in them. May also honor the dead and/or gods who work with the dead. Also try this link.
Pop Culture - Uses pop culture as a main focus or inspiration for the craft. Using lyrics or movie lines in spells, worshipping and honoring pop culture icons or idols, use of fandom, and more. It is a very wide practice. Examples may include drawing from Harry Potter spells or using invented sigils from shows like Supernatural.
“Poison Path” - Working with plants, herbs, other items that may be poisonous, deadly, cause hallucinogenic effects, or affect the mind or body in some way (sometimes aphrodisiacs are included [?])
Desert - Using and utilizing the desert environment. Lots of work with hardier plants such as Cacti or Tumbleweeds. Use of the moon, desert earth, fire, rare water (especially rainwater), wind, local plants and herbs, as well as animals/creatures of the desert such as snakes, spiders, scorpions, and so on.
Swamp/Bog - Heavy use of water and moisture, rich we soil/mud, sometimes incorporates the use of bones, animals, and insects, especially the local plants of the Swamp