Below is a detailed listing of all Magic avaiable in Kingdom Hearts. Unlike other Magic systems, your party learns Magic after completing a certain prerequisite in the game. So leveling up does nothing to learn new Magic. Each spell used either requires a value of 1/2, 1 or 2. Gaining levels during the game increases the amount of MP available.

Kingdom Hearts Magic
Magic	MP Cost	Effect	Location
Fire	1/2	Litle Fire Damage	Automatically After You Meet Donald
Fira	1/2	Alot Of Fire Damage	After Defeating Jafar in Agrabagh
Firaga	1/2	Imense Fire Damage	Princess In Hollow Bation
Thunder	1	Litle Thunder Damage	Phil, After Barrel Training
Thundara	1	Alot Of Thunder Damage	Ursula In Atlantica
Thundaga	1	Imense Thunder Damage	Cereberus / Hades Cup
Blizzard	1/2	Little Ice Damage	Cheshire Cat Wonderland
Blizzara	1/2	Alot Of Ice Damage	Jafar-Genie In Agrabagh
Blizzaga	1/2	Little Ice Damage	Behemoth In Hades Cup
Cure	1	Heals A Little Health	Clayton In Deep Jungle
Cura	1	Heals Alot Health	Shadow Sora In Neverland
Curaga	1	Heals imense Health	Aerith In Hollow Bastion Library
Aero	2	Protects For Little Time	Opposite Armor In Traverse Town Re-vist
Aeroa	2	Protects For Alot of Time	Treasure Chest Using Yellow Trinity
Aeroga	2	Protects For Little Time	Locate 99 Dalamations
Stop	2	Stops for A Short Time	Parasite Cage
Stopra	2	Stops for A Longer Time	100 Arce Wood
Stopga	2	Stops for An Even Longer Time	Neverland From Tinkerbell
Gravity	1	Little Shadow Damage	Complete Phil Cup
Gravira	1	Alot Of Shadow Damage	Grant Oogie Boogie
Graviga	1	Imense Shadow Damage	Rock Titan Hades Cup