Curative magic
Cure, Cura, Curaga
Life, Fulllife
Esuna
Dispell
Regen (FFVII style)

Attack magic
Fire, Fira, Firaga
Thunder, Thundara, Thundaga
Blizzard, Blizara, Blizaga
Water, Watera
Aero, Tornado
Quake
Bio (one that does damage, not poisons only)
Holy
Shadow
Ultima

Support/status magic
Haste, Hastega
Protect
Reflect
Aura
Berserk
Pain

Summon
Ifrit
Shiva
Ramuh (much more better tha Quezacoatl or Ixion)
Bahamut
Odin
Diablos
Phoenix
Gilgamesh