Once the indicated skill is unlocked it will give the corresponding bonus.

Skill	How to unlock
Anti-grav Jump	Hold Jump to travel further.
Bargain Hunter	Purchase items from shops at 25% discount, also affects Serendipity coin prices.
Battlemania	Increase the odds that rare enemies will be encountered.
Chocobo Music	Select Chocobo songs while riding the Chocobo.
Clock Master	Set overall game speed between High Speed and Low Speed.
Encounter Master	Change the enemy encounter rate to frequent or less frequent.
Eyes of the Goddess	Control camera in Event Scenes with Right Analog-stick.
Field Killer	Defeat enemies instantly on the field.
Haggler	Sell items to shops for 10% more gil.
Mobile Mog	Lets Mog return to your side faster after throwing him.
Mog's Manifestation	Improved Moogle Throw to find always treasure where none can be seen.
Monster Collector	Increase odds to obtain a Monster Crystal from battles.
Paradox Scope	Invoke paradox to explore new potential histories to challenge history's new possibilities.
Rolling in CP	Earn more CP from battles.