Guide of Blue Magic locations. I will list the locations in order of earliest to latest, then in a spoiler tag, the monsters that use it.

Note: this guide contains location SPOILERS.
Note 2: You CANNOT learn Blue Mage by using a Rage that contains one. It must be an enemy that uses it.

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GOBLIN PUNCH
Starter

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VAMPIRE
Starter

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AERO
Yamagawa M.A. : Kamaitachi
Capitol Sequoia : Niltsi
Rolling Quintar Fields : Buttermint
Quintar Nest : Brutish Quintar
Quintar Sanctum : Barbariccia

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BLACK HOLE
Capitol Sequoia : Niltsi
Land's End : Dead Mage
Castle Sequoia : Cherry
The Deep Sea : Swamp Kid

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WHITE WIND
Rolling Quintar Fields : Fiendish Quintar
Rolling Quintar Fields : Buttermint
Overpass : Fiendish Quintar
Shoudu Province : Dry Kid
The Undercity : Barbariccia
The Open Sea : Sea Skimmer

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HIGH VOLTAGE
Greenshire Reprise : Anguiform
The Deep Sea : Man of War
Capitol Sequoia : Colonizer (You need to garden; the seed for Colonizer is dropped from encounters in Slip Glide Ride)

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ANGEL WHISPER
Rolling Quintar Fields : Buttermint
Quintar Nest : Cindy
Poko Poko Desert : Desert Rose
Sara Sara Beach : Scentaur

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MIGHTY GUARD
Delende : Deathgaze
Capitol Jail : Hades Gigess
Shoudu Province : Laughing Toad
Ancient Reservoir : Sand Bomb
Tall, Tall Heights : Quinsey
The Deep Sea : Swamp Kid
The Depths : The Enforcer

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REFLECT???
Yamagawa M.A. : Scarmiglione
Delende : Indecent Dweller
Shoudu Province : Dry Kid
The Deep Sea : Swamp Kid

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DEATH CLAW
Seaside Cliffs : Lobo
Tall Tall Heights : Rabite
The Deep Sea : Medusa

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BAD BREATH
Rolling Quintar Fields : Fiendish Quintar
Rolling Quintar Fields : Buttermint
Quintar Reserve : Woke Egg
Quintar Sanctum : Malboro
Ancient Reservoir : Great Malboro
Tall, Tall Heights : Quinsey
Jidamba Tangle : Malboro Menace

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WIND SLASH
Quintar Nest : Brutish Quintar
Overpass : Brutish Quintar
Overpass : Trusty Quintar
Overpass : Woke Quintar
Poko Poko Desert : Dust Devil
Quintar Sanctum : Fancy Quintar
Quintar Reserve : Woke Quintar

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FLAMETHROWER
Cobblestone Crag : Crag Demon
Beaurior Volcano : Salamander
Jidamba Tangle : Cluckoid
Jidamba Tangle : Fire Bug
Castle Ramparts : Rampart Demon
The Sequoia : Wing Worm

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AQUA RAKE
Yamagawa M.A. : Itachitori
Seaside Cliffs : Snail
The Open Sea : Rhizopas
The Deep Sea : Sea Salamander

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MAGNITUDE 8
Delende : Ioske
Poko Poko Desert : Sand Worm
Jidamba Tangle : Rexosaur

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PEP UP
Land's End : Risen
Land's End : Dead Mage
Land's End : Dead Warrior

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EXPLODER
Beaurior Volcano : Bomb
Ancient Reservoir : Sand Bomb
The Depths : Torpedo
The Sequoia : Veil
The New World : Doom Spike

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MAGIC HAMMER
Yamagawa M.A. : Itachi
Shoudu Province : Dry Kid
Shoudu Province : Jester
The Old World : Periculum
Ancient Labyrinth : Anubis

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MIND BLAST
Skumparadise : Fungers
Skumparadise : Parasite
Ancient Reservoir : Soulcage
Land's End : Dead Mage
Castle Sequoia : Parasite X
The Deep Sea : Coyote
The Deep Sea : Merhorse
The Deep Sea : Swamp Kid

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NIGHT
Quintar Sanctum : Pixie
Shoudu Province : Dry Kid
Shoudu Province : Jester
Tall Tall Heights : Snow Nymph
The Deep Sea : Merhorse
The Depths : The Enforcer
The Sequoia : Shrieker

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MOON FLUTE
Salmon River : Shelldin
The Deep Sea : Swamp Kid
The Deep Sea : Shank Shark

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EYES ON ME
Shoudu Province : Dry Kid
Capitol Sequoia : Improper Imp
The Deep Sea : Mind's Delusion

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1000 NEEDLES
Poko Poko Desert : Cactuar

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QUASAR
Land's End : Demon Wall
Jidamba Tangle : Star Spark
The Depths : Gabriel