magic archetypes i think would be
elemental: classic fire/cold/lightning focused spells as well as other stuff like tidal wave, gust, warding wind, earth tremor, some things like summon elemental and protection from elements
arcane: 'intricate' spells, stuff that was probably designed by someone for a purpose, typical utility stuff like knock, tiny hut, fly, comprehend languages, teleport, detect thoughts, magic missile, chromatic orb
shadow: illusions and stealth mostly, some abjuration, scrying and stuff like eyebite, crown of madness, alarm, shadow blade and some charm spells, poison too
primal: plants and animal spell focus mostly, but some healing and some crossover with earth/wind/water themed spells of elemental, a couple of illusions and summon fey, some more spirit focused necromancy like speak to dead?
necromancy: undead and necrotic stuff obviously, but also poison, numerous various debuffs, afflictions and hazards, some smattering of radiant and healing magics
mental: charm and psychic-y spells, scrying, telepathy, sending, geas
warding: abjuration primarily, some healing too, stuff like the wall of X spells and forcecage, expeditious retreat, dispel magic/counterspell, invisibility
divine: the big guns for radiant damage, healing and divination
battle: melee and combat focused magic, weapon enchantment, and buffs like haste, enlarge/reduce, polymorph, shield, mage armour, stoneskin, smites, limited healing
Do you think i missed any major themes? I was considering a transmutation one?