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.