Cloud: Omnislash

To obtain the most awesome limit break in the game, head to the Battle Arena and the Gold Saucer and get fighting! You will need a whopping 32,000 BP in order to obtain this. You can then exchange them for the limit break.

Barret: Catastrophe

Go to North Corel after Meteor is summoned. Speak to the lady in the middle house on the west side of town. She’ll then give you the limit break.

Tifa: Final Heaven

When you go to Nibelheim, take Tifa to her house and play the song.
X, Square, Triangle, R1/L1 + Triangle, R1/L1, x, Square, Triangle, R1/L1 + X, Circle, X, Square, X

Aeris: Great Gospel

Speak to the sleeping old man next to Junon. When the last two digits of the number of battles you have fought are the same, he will give you a piece of mythril, and you can open a box and get her limit break. It’s in the small box.

Red XIII: Cosmo Memory

Defeat the Lost Number boss in the Shinra Mansion. You will need to open the safe to do so.

Yuffie: All Creation

Defeat Godo at the top level of the Pagoda of the Five Mighty Gods.

Cid: Highwind

Use the submarine to get to the crashed Gelinka. Inside the cargo bay, you will find the limit break.

Vincent: Chaos

Use the submarine to get to Lucrecia’s Cave locate behind the waterfall in the Nibel Area. Visit during Disc 2. Visit again on disc 3 to get it.