Kingdom Key (Strength +3, Magic +0)
Starter Keyblade.
Jungle Key (Strength +5, Magic +0)
Story related. Close the keyhole in Deep Jungle, the Tarzan world.
Three Wishes (Strength +6, Magic +0)
Story Related. Close the keyhole in Agrabah, the Aladdin world.
Crabclaw (Strength +6, Magic +1)
Story Related. Close the keyhole in Atlantic, the Little Mermaid world.
Pumpkinhead (Strength +7, Magic +0)
Story Related. Close the keyhole in Halloween Town, The Nightmare Before Christmas world.
Fairy Harp (Strength +8, Magic +1)
Story Related. Close the keyhole in Neverland, the Peter Pan world.
Wishing Star (Strength +5, Magic +0)
After completing Monstro, it will be in a chest in Gepetto’s house in the first district of Traverse Town.
Spellbinder (Strength +4, Magic +2)
Talking to Merlin after acquiring all 7 basic spell types.
Metal Chocobo (Strength +9, Magic -1)
Beat Cloud during the 6th round of the Hercules cup (3rd cup) in Olympus Coliseum. You will keep this keyblade even if you lose a later round before the end.
Olympia (Strength +10, Magic +0)
In a chest in the Lobby area of the Olympus Coliseum. The chest will not unlock until the Hercules cup has been completed successfully.
Lionheart (Strength +10, Magic +1)
Beat Cloud and Leon during the 30th round of the Hades cup (4th cup). This cup creates checkpoints every 10 rounds beaten that you can restart from if you get defeated.
Oathkeeper (Strength +9, Magic +1)
Speak to Kairi in the Secret Waterway area of Traverse Town after the events at Hollow Bastion.
Oblivion (Strength +11, Magic +1)
On a balcony across from where the keyhole was in Hollow Bastion.
Lady Luck (Strength +7, Magic +2)
After learning the White Detect Trinity, return to Wonderland, then follow this video:
Divine Rose (Strength +13, Magic +0)
Speak to Belle in the Library of Hollow Bastion after sealing its keyhole.
Diamond Dust (Strength +3, Magic +3)
Beat the Ice Titan during the Gold Match in the Olympus Coliseum. The Hades Cup must be cleared successfully for the Gold Match to appear.
One-Winged Angel (Strength +8, Magic -2)
Beat the Platinum Match in the Olympus Coliseum. Hollow Bastion's keyhole must be sealed to make the Platinum Match appear.
Ultima Weapon (Strength +14, Magic +2)
One of the final synthesis recipes unlocked by completing all earlier recipes.