SE = Square Enix
AoE = Area of Effect (often an effect or damage)

Reflect causes projectiles to be bounced back with a slightly greater accuracy (bare minimum), if the target who created the projectiles is also locked-on; essentially, it does nothing for Reflect.

Cure doesn't do anything, unless you consider that the animation appears over Sora's head instead of being super-imposed on the screen above his head (again, this means nothing).

Thunder directs the bolt towards the enemy locked-on; in Final, Master, and Wisdom, the first bolt in Final/Finishing bolt (Wisdom, Master) will strike the first enemy, then randomly strike areas around the target.

Blizzard shoots in the area of the locked-on enemy, slight tracking in Final and Master (and possibly Wisdom).

Fire will actually move Sora to the closest enemy, if it's the one locked on. This is mostly relevant in the Wisdom and Final Modes, in which no matter what you do, if you cast Fire, it will move you towards the closest enemy, as per their ability to float and defy gravity. I'm fairly sure it does not get affected in Master.

Magnet locks onto the closest enemy (is not affected by target lock or Form).