Once the Fishing mini-game began, you can only fish in the Lower Reaches fishing spot. However, you can unlock more fishing spots when get to certain requirements.
Unlockable--> How to Unlock
Middle Reaches--> Get 5 perfect fishing in the Lower Reaches
Upper Reaches--> Get 5 perfect fishing in the Middle Reaches
Secret Reaches--> Fish up Saboten Bond in the Upper Reaches with Matamune
Master Den--> Fish up Saboten Crest un the Secret Reaches
Taikou Chest (treasure)--> Get 9 perfect fishing in the Master Den

Sky Pirate's Den Figurines

Unlockable--> How to Unlock
Vaan--> Awarded for stealing 50 times from enemies.
Ashe--> Awarded for having the average party level over 50.
Balthier--> Awarded for attacking 300 times.
Fran--> Awarded for using magic 200 times.
Basch--> Awarded for killing 500 foes.
Penelo--> Awarded for getting 100,000 gil.
Larsa--> Awarded for mastering every character's license board.
Vayne--> Awarded for using techniques 100 times.
Montblanc--> Awarded for attaining (monster) chain level 50.
Gurdy--> Awarded for using/spending 1,000,000 gil.
Chocobo--> Awarded for walking 50,000 steps.
Migelo--> Awarded for selling 1000 loot.
Daran--> Awarded for completing every map.
Reks--> Awarded for earning 500,000 clan points.
Gabranth--> Awarded for initiating every fusion technique.
Ba'Gamnan--> Awarded for completing the hunt catalog.
Vossler--> Awarded for obtaining every character's techniques.
Crystal--> Awarded for obtaining every character's magics.
Mimic--> Awarded for obtaining every rare bazaar goods.
Belias--> Awarded for obtaining every esper.
Trickster--> Awarded for defeating the monster, Trickster.
King Behemoth--> Awarded for defeating the monster, King Behemoth.
Gilgamesh--> Awarded for defeating the monster, Gilgamesh.
Zodiac--> Awarded for defeating the esper, Zodiac.
Yazmat--> Awarded for defeating the monster, Yazmat.
Carrot--> Awarded for defeating the monster, Carrot.
Fafnir--> Awarded for defeating the monster, Fafnir.
Devil Dragon--> Awarded for defeating the monster, Devil Dragon.
Ultima--> Awarded for defeating the esper, Ultima.
Death Gaze--> Awarded for defeating the monster, Death Gaze.