Anti-Gravity Jump

Skill: Allows you to jump further by holding the jump button.
How to Unlock: Fragment obtained by saving Noel from the dream world in Dying World 700 AF.

Battlemania

Skill: Attract tougher enemies
How to Unlock: Finish the Academic Rank: Paradox Professor side quest in Academia 400 AF.

Bargain Hunter

Skill: Shops now offer discounted goods.
How to Unlock: Fragment Skill obtained automatically by saving Noel from the dream world in Dying World 700 AF.

Chocobo Music

Skill: Allows you to choose the Chocobo riding music. Choices are Default Chocobo, Chocobos of Cocoon, Chocobos of Pulse, Crazy Chocobo and Chocobo Race.
How to Unlock: Gather all of the Fragments in the Bounty Hunter and Monster Bits categories.

Clock Master

Skill: Increases the speed of the entire game (including cutscenes). This comes in handy for expediting farming.
How to Unlock: Collect all 160 Fragments.

Encounter Master

Skill: Allows you to influence the encounter rate. Choices are Less Enemies or More Enemies.
How to Unlock: Collect every Fragment in every version of Yaschas Massif.

Eyes of the Goddess

Skill: Control camera during events.
How to Unlock: Find every Fragment in New Bodhum 003 AF, Bresha Ruins 005 AF, Yaschas Massif 010 AF, Yaschas Massif 01X AF, Oerba 200 AF, and Sunleth Waterscape 300 AF.

Field Killer

Skill: Instantly kill groups of weaker enemies without having to fight the actual battle.
How to Unlock: Find all of the Fragments in the Academic Reward and Great Mog Wisdom categories.

Haggler

Skill: Higher sell price in shops.
How to Unlock: Rewarded to you automatically the first time you speak to the Mystic.

Mobile Mog

Skill: Mog returns swiftly after being thrown.
How to Unlock: Collect every Fragment in all 4 versions of Oerba (200 AF, 300 AF, 400 AF, and the Paradox Ending).

Mogs Manifestation

Skill: Improved Moogle Throw.
How to Unlock: Obtained automatically after you first speak to the Mystic.

Monster Collector

Skill: Receive a 20% boost in monster crystals drop rate.
How to Unlock:Collect each Fragment in both versions of the Vile Peaks (010 AF and 200 AF).

Paradox Scope

Skill: Challenge historys possibilities. Activate alternative histories when replaying areas.
How to Unlock: Beat the Final Boss.

Rolling in CP

Skill: Obtain more CP from battles.
How to Unlock:Find each Fragment in every version of Bresha Ruins and Yaschas Massif.