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Here's the complete list of Blue Magics.

1000 NEEDLES - Cactuar (Outer & Forgotten Continent)
Description : Reduces the enemy's HP by 1000.

ANGEL'S SNACK - Ironite (Burmecian Kingdom), Mistodon (Mist Continent), Behemoth (Memoria), Epitaph (Oeilvert)
Description : Uses a Remedy on all party members.

AQUA BREATH - Axolotl (Qu's marsh), Sahagin (Qu's Marsh)
Description : Water damage to all enemies.

AUTO LIFE - Stilva (Memoria), Yan (Vile Island), Gimme Cat (Daguerreo),
Carrion Worm (Cleyra's Trunk), Cerberus (Ipsen's Castle)
Description : Automatically cast Life when KO'd.

BAD BREATH - Malboro (Pandemonium, (Cazedil Plains), Worm Hydra (Mount Gulug, Outside Daguerreo,), Anemone (Forgotten Continent)
Description : Causes various status ailments to enemy.

DOOM - Ash (Memoria), Veteran (Ipsen's Castle, Memoria)
Description : Cast death after a 10 count.

EARTH SHAKE - Earth Guardian (Earth Shrine), Shell Dragon (Pandemonium), Adamantoise (Lanar Island, Uaho Island)
Description : Cause Earth damage to all enemies

FROG DROP - Gigan Toad (Qu's Marsh)
Description : Damage = Number of frogs caught * Quina's level.

FROST - Chimera (Memoria), Kraken (Memoria), Wraith (Mount Gulug)
Description : Causes Freeze to the enemy.

GOBLIN PUNCH - Goblin (Mist Continent), Goblin Mage (Outer Continent)
Description : Non-elemental damage to the enemy

LIMIT GLOVE - Mandragora (Treno), Axe Break (Outside Lindblum), Jabberwock (Forgotten Continent), Blazer Beetle (Madain Sari), Muu (Village of Dali)
Description : Causes non-elemental damage (9,999) to the target when Quina's HP is 1.

LEVEL 3 DEF-LESS - Lamia (Gizamaluke's Grotto), Grand Dragon (Outside Daguerreo), Ochu (Mountain Path), Lizard Man (Burmecia), Sand Scorpion (Vube Desert), Carve Spider (Dali, Treno, Lindblum)
Description : Reduces defence to enemies that levels are multiples of 3.

LEVEL 4 HOLY - Feather Circle (Fossil Roo, Esto Gaza), Torama (Desert Palace)
Description : Causes Holy damage to enemies that levels are multiples of 4.

LEVEL 5 DEATH - Draco Zombie (Iifa Tree), Lich (Memoria), Whale Zombie (Esto Gaza), Stropper (Iifa Tree)
Description : Causes Death to all enemies that levels are multiples of 5.

MAGIC HAMMER - Magic Vice (Burmecia), Ring Commander (Terra)
Description : Reduces enemy's MP.

MATRA MAGIC - Zaghnol (Outer Continent), Armstrong (Forgotten Continent), Trick Sparrow (Treno), Ogre (Oeilvert), Dragon Fly (Cleyra)
Description : Reduces target's HP to 1.

MIGHTY GUARD - Myconid (Forest Maze, Iifa Tree), Serpion (Dragon's Gate), Ant Lion (Desert Palace), Gigan Octopus (Esto Gaza), Gargoyle (Ipsen's Castle)
Description : Casts Shell and Protect to the entire party.

MUSTARD BOMB - Bomb (Lindblum), Grenade (Mount Gulug), Red Vepal (Mount Gulug)
Description : Causes Heat to the enemy.

NIGHT - Grim Lock (Desert Palace), Nymph (Cleyra), Seeker Bat (Fossil Roo), Abomination (Fossil Roo)
Description : Causes Sleep to all targets.

PUMPKIN HEAD - Hedgehog Pie (Dragon's Gate), Lady Bug (Gizamaluke's Grotto), Basilisk (Burmecia), Skeleton (Gizamaluke's Grotto), Yeti (Burmecia), Python (Mist Continent), Bandersnatch (Alexandria)
Description : Damages with the difference between your max HP and current HP.

ROULETTE - Zombie (Iifa Tree), Hecteyes (Terra, Forgotten Continent, Outer Continent), Ghost (Treno, Dali)
Description : Randomly cast Death to a target.

TWISTER - Abadon (Pandemonium), Red Dragon (Mount Gulug), Tiamat (Memoria)
Description : Causes Wind damage to all enemies.

VANISH - Vice (Gizamaluke's Grotto), Hornet (Gizamaluke's Grotto), Drakan (Desert Palace), Troll (Madain Sari)
Description : Makes a party member disappear (immune to physical attacks).

WHITE WIND - Zuu (Cleyra's Trunk), Griffin (Fossil Roo, Outer continent), Garuda (Esto Gaza, Gizamaluke's Grotto), Zemzelett (Forest Maze)
Description : Restores HP to the entire party members.