Final Fantasy IV: The After Years/Challenge Dungeon

Challenge dungeons are a new addition to provide additional, higher-level gameplay for each chapter. After completing a chapter and reloading your save data, you may scour the Blue Planet for Namingway (now calling himself Challengingway) to gain access to special challenge dungeons with more powerful monsters. After clearing the dungeon, you will have a chance to get everything from simple monster item drops to very rare items, armor, and weapons. These dungeons can be played through multiple times, each with a different item distribution and another chance to net more rare items.

Ceodore's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location:
 * A small room in the Mist Cave, B1
 * Rare Items
 * Adamantite
 * Dirty Magazine
 * Mythril Sword
 * Mythril Shield
 * Mythril Helmet
 * Mythril Armor
 * Mythril Gauntlets
 * Pudding Ring

Kain's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Baron Inn, 2F (Barroom)
 * Rare Items
 * Adamantite
 * Obelisk
 * Elven Bow
 * Demon Slayer
 * Sledgehammer
 * Diamond Helmet
 * Diamond Shield
 * Diamond Armor
 * Diamond Gauntlets
 * Light Robe

Rydia's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Small building near the center of Agart Village
 * Rare Items
 * Adamantite
 * Earthen Hammer
 * Flame Shield
 * Golden Hairpins
 * Flame Mail
 * Black Robe
 * Sprint Ring

Yang's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Fabul Castle Inn
 * Rare Items
 * Adamantite
 * Hell Claw
 * Cat Claw
 * Black Hood
 * Chakra Band
 * Black Belt Gi
 * Rose Embroidery
 * Hyper Wrist

Palom's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Troia upper level
 * Rare Items
 * Adamantite
 * Wizard's Rod
 * Guard Staff
 * Black Robe
 * Red Robe
 * Talisman
 * Single Star

Edge's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Eblan Castle Inn
 * Rare Items
 * Adamantite
 * Kotetsu
 * Earthen Hammer
 * Flame Lance
 * Blitz Whip
 * Wing Edge
 * Goblin Mask
 * Mist Robe
 * Treasure Band

Porom's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Village Inn, 1F
 * Rare Items
 * Adamantite
 * Wave Staff
 * Mysterious Veil
 * Light Robe
 * Rapid Ring

Edward's Tale
🇨🇴 🇨🇴 🇨🇴
 * Location
 * Kaipo
 * Rare Items
 * Adamantite
 * Ice Whip
 * Demon Gown
 * Knowledge Robe
 * Shako Hat
 * Muse Harp
 * Level Band

Lunarian's Tale
🇨🇴 🇨🇴 🇨🇴 🇨🇴 🇨🇴 🇨🇴
 * Location
 * Hummingway Home (Challenger's Proof required for second dungeon)
 * Rare Items (Dungeon 1)
 * Enhanced Sword
 * Diamond Helmet
 * Diamond Armor
 * Diamond Gauntlets
 * Diamond Shield
 * Challenger's Proof
 * Rare Items (Dungeon 2)
 * Adamantite
 * Defender
 * Aegis Shield
 * Rare Band
 * Last Elixer