Level 1 Limit Breaks:
Healing wind -Automatically have it
Seal Evil -must use Healing Wind 7 times

Level 2 Limit Breaks:
Breath of the Earth -must kill 80 enemies
Fury Brands -must use Breath of the Earth 6 times

Level 3 Limit Breaks:
Planet Protector -must kill 80 enemies
Pulse of Life -must use Planet Protector 5 times

Level 4 Limit Break:
Great Gospel -Fight until the last 2 digits of the number of times you have fought are the same. Then, ask the sleeping man in the cave near Midgar, and he will give you the Mythril. Trade the Mythril to the Blacksmith (blue house near Golden Saucer, immediately after getting Tiny Bronco) and he'll give you the "Great Gospel".



Barret:

Level 1 Limit Breaks:
Heavy Shot -Automatically have it
Mind Blow -must use Heavy Shot 9 times

Level 2 Limit Breaks:
Grenade Bomb -must kill 80 enemies
Hammer Blow -must use Grenade Bomb 8 times

Level 3 Limit Breaks:
Satellite Beam -must kill 80 enemies
Ungremax -must use Satellite Beam 7 times

Level 4 Limit Break:
Catastrophe -Revisit North Corel once Meteor has been summoned. Speak to the lady wearing a hat in the middle house. She'll give you the "Catastrophe".


Caitsith:

Level 1 Limit Breaks:
Lucky Dice -Automatically have it

Level 2 Limit Breaks:
Slots -must kill 80 enemies
   3 Stars - A tiny Mog appears as he replenishes all the allies HP and MP about 80%.
   3 Crowns - Toy soldiers appear causing heavy damage against the opposition.
   3 Bars - A random summon is used. You can even summon Knights of the Round.
   3 Mogs - A giant version of Cait Sith is formed and he will gain all expierience and the party returns at the end and their HP is reduced to 3333 and their MP to 333.
   3 Hearts - A female elf puts 3 hearts on the party members ensuring no misses with attacks or magics.
   2 Cait Sith and 1 Bar - Instant death for all allies resulting in a game over. This is the most rare to occur.
   3 Cait Sith - Instant Victory that means you automatically win the battle. And for those of you wondering, it won't work on bosses or the Weapons.



Cid:

Level 1 Limit Breaks:
Boost Jump -Automatically have it
Dynamite -must use Boost Jump 7 times

Level 2 Limit Breaks:
Hyper Jump -must kill 60 enemies
Dragon -must use Hyper Jump 6 times

Level 3 Limit Breaks:
Dragon Dive -must kill 80 enemies
Big Brawl -must use Dragon Dive 5 times

Level 4 Limit Break:
Highwind -Go to the Sunken Ship, and go to the room with the helicopter. One of the chests contain the "Highwind"



Cloud:

Level 1 Limit Breaks:
Braver -Automatically have it
Cross Slash -must use Braver 8 times

Level 2 Limit Breaks:
Blade Beam -must kill 115 enemies
Climhazzard -must use Blade Beam 7 times

Level 3 Limit Breaks:
Meteorain -must kill 195 enemies
Finishing Touch -must use Meteorain 6 times

Level 4 Limit Break:
Omnislash -Get 32,000 Battle Points at the Gold Saucer's Battle Square in one visit. Purchase "Omnislash" at the counter.



RedXIII:

Level 1 Limit Breaks:
Sled Fang -Automatically have it
Lunatic High -must use Sled Fang 8 times

Level 2 Limit Breaks:
Blood Fang -must kill 70 enemies
Stardust Ray -must use Blood Fang 7 times

Level 3 Limit Breaks:
Howling Moon -must kill 70 enemies
Earth Rave -must use Howling Moon 6 times

Level 4 Limit Break:
Cosmo Memory -You must Open the safe at Nibelheim Mansion, and defeat the "Lost Number"



Tifa:

Level 1 Limit Breaks:
Beat Rush -Automatically have it
Somersault -must use Beat Rush 9 times

Level 2 Limit Breaks:
Waterkick -must kill 96 enemies
Meteordive -must use Waterkick 7 times

Level 3 Limit Breaks:
Dolphin Blow -must kill 96 enemies
Meteor Strike -must use Dolphin Blow 6 times

Level 4 Limit Break:
Final Heaven - Go to Tifa's house in Nibelheim. Play the Piano. Play this tune:
X, S, T, R1+T, L1+S, C, S, T, L1+X, C , X, S, X
Tifa must be in your party. She will find the "Final Heaven".



Vincent:

Level 1 Limit Breaks:
Galiant Beast -Automatically have it

Level 2 Limit Breaks:
Death Gigas -must kill 42 enemies

Level 3 Limit Breaks:
Hell Mask -must kill 52 enemies

Level 4 Limit Break:
Chaos -On disc 2. You should have the submarine. Go to Lucrecia's cave without Vincent. Then with Vincent. Leave again, then go back to where Lucrecia was standing. You will get (Weapon) Death Penalty and "Chaos".


Yuffie:

Level 1 Limit Breaks:
Greased Lightning -Automatically have it
Clear Tranquil -must use Greased Lightning 8 times

Level 2 Limit Breaks:
Landscaper -must kill 63 enemies
Blood Fest -must use Landscaper 7 times

Level 3 Limit Breaks:
Gauntlet -must kill 63 enemies
Doom of the Living -must use Gauntlet 6 times

Level 4 Limit Break:
All Creation -Defeat Godo in the 5-star pagoda. It is in Wutai.

Article Source: Kuponut.com : Final Fantasy 7 Limit Breaks  :  http://www.kuponut.com/cheats/ff7/limit_breaks.html