Final Fantasy IV: The Complete Collection Cheats

Unlock additional chapters in The After Years (PSP version only)
In the PSP version of The After Years, the only tales available to you at the start of the game are Ceodore's, Rydia's, Yang's, Palom's, Edge's, Porom's, and Edward's. There are three other unlockable chapters, however, including the finale.

Kain's Tale - Return of the Dragoon: Finish Ceodore's Tale and any one other character tale
The Crystals - Planet Eater: Finish every other tale up to and including the Lunarians'
The Lunarians' Tale - The Blue Planet That Was: Finish every tale up to and including Kain's