Magic in Final Fantasy VI Advance is split into three main categories:
Recovery, Offensive, and Effect magic.
Everyone but Gogo and Umaro can learn spells through equipping various Espers. Below I set the spells as they would appear in the game. This way you can check and see what spells you are missing. I also placed the Espers in order of the fastest to slowest teacher. This should assist in getting the spells a lot quicker. You will also have three new spells unique to this release: Flood, Gravija, and Valor. All are powerful spells, that will come in handy.