Cordelica

'Note: Bringing a squad with only one element is highly discouraged in Cordelica. There are often Zone Monsters with opposite element with the other. Furthermore, in areas that have more than one boss, at least one of the bosses' elements might be strong against your units and may defeat all your units instantly by casting AoE.'

Greyska Caves
Zone Monsters: Goblin, Orthos, Thief Leon,Witch Liza, Fire Spirit, Harpy,

Minotaur,Medusa, Sorceress Lily, Dark Spirit

Zone Drops: Blood Pelt (Shida), Guardian Eye (Strategist Weiss)

Chest Drops: Blue Claw

Ignia Falls
Zone Monsters: Merman, Ramia, Pirate Verica, Plunderer Verica, Priest Merith, Water Spirit,

Mandragora, Fairy, Bandit Zaza, Head Bandit Zaza, Sage Mimir, Angel, Geomancer Claris, Unicorn

Zone Drops: Green Grass (Ramia), Red Grass, Lyon Feather, Yomi Feather, Rhau Feather,

Green Drop, Purple Drop, Blue Drop, Bara Nut, Koka Nut, Hoku Nut, Blue Bug, Water Eye, Blue Pelt, Hard Bone, Blood Pelt (Cowboy Heidt), Guardian Eye (Knight sergio&Captain Mega),

Chest Drops: Yomi Feather

Lomass Forest
Zone Monsters: Skeleton King, Polevik, Ramia, Earth Idol, Dark Idol, Sorceress Lily, Medusa,

Sahuagin, Fairy, Priest Merith, Geomancer Claris, Pirate Verica, Water Idol

Zone Drops: Green Drop, Buru Nut, Green Grass, Spirit Stone (Medusa) ,

Bara Nut,Lynn Feather, Red Drop, Earth Eye, Red Grass, Purple Drop, Hard Bone

Tower Of Light
Zone Drops: Fire Eye, Giant Claw, Fate Stone, Paladin Stone, Bara Nut, Blue Grass, Light Eye, Red Drop, Green Drop, Divine Light, Wicked Stone

Note: It appears that all 3* zone monsters (i.e. Pegasus, Plunderer Verica, etc.) are capturable. This needs further confirmation for other levels.
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Cordelica Mine
Quest Zone Drops: 

Note: ?.

Giant's Ruins
Zone Drops:  Blue Grass, Green Drop, Fire Eye, Green Grass, Wicked Stone, Paladin Stone, Fate Stone, Water Eye, Thuner eye, Giang Claw, Wicked Stone, Light Eye, Water Eye, Red Drop, Earth Eye, Beast Pelt, Dark Eye, Suzu Nut,

Note: ?.