Below is a chart of all the Limit Breaks in Final Fantasy VII, organized by character. Characters are listed alphabetically.

Aeris' Limit Breaks
Level	Name	How to Get It	Effect
1	Healing Wind	n/a	Recovers one-half of each characters HP Max
1	Seal Evil	Use "Healing Wind" 8 times	Casts Stop and Silence on all enemies.
2	Breath of the Earth	Inflict the killing blow on 80 enemies	All status conditions including positive ones dispelled
2	Fury Brand	Use "Breath of the Earth" 8 times	All party members' limit gauges are full except Aeris's
3	Planet Protector	Inflict the killing blow on a total of 160 enemies	All party members invulnerable for a limited amount of time
3	Pulse of Life	Use "Planet Protector" 8 times	Completely refills HP and MP of all characters, even dead ones
4	Great Gospel	Use "Great Gospel" item	Totally refills all HP and MP, all party members invulnerable for limited amount of time

Barrett's Limit Breaks
Level	Name	How to Get It	Effect
1	Heavy Shot	n/a	Hits one enemy for moderate damage
1	Mind Break	Use "Heavy Shot" 8 times	Foe's MP reduced to 0, ineffective against some bosses
2	Grenade Bomb	Inflict the killing blow on 80 enemies	Moderate damage to all enemies
2	Hammer Blow	Use "Grenade Bomb" 8 times	Kills one enemy instantly; ineffective on bosses and some enemies
3	Satellite Beam	Inflict the killing blow on a total of 160 enemies	Moderate to heavy damage to all targets
3	Anger Max	Use "Satellite Beam" 8 times	Fires 18 rounds at random, light damage each
4	Catastrophe	Use "Catastrophe" item	Hits at random 20 times, light damage each

Cait Sith's Level 2 limit break has many possible outcomes, as it is a slot machine. All outcomes are listed.

Cait Sith's Limit Breaks
Level	Name	How to Get It	Effect
1	Lucky Dice	n/a	Throws two to six dice, totals added up, multiplied by 100,200, 300, or 400, and enemy takes that much damage
2	Toy Box	losing spin	Item at random dropped from toy box onto a single foe
2	Toy Soldiers	Three crowns	Small army of toy soldiers attack all enemies for fairly heavy damage
2	Mog Dance	Three stars	Entire party refilled to HP and MP max
2	Lucky Gal	Three hearts	All regular attacks will be critical hits for the rest of the battle
2	Random Summon Spell	Three bars	One summon spell automatically cast, costs no MP
2	Combine	Three Cait Siths	All three party members jump into Cait Sith's suit and create mega-character whose HP is equal to HP total of all three members added together. Attacks do a lot of damage
2	All Over	Cait Sith's face	All enemies are killed regardless of whether or not they can resist instant death
2	Joker Death	Left and center parts of Cait Sith's face, right-hand slot is Bar	All party members die instantly. Can't be prevented.

Cid's Limit Breaks
Level	Name	How to Get It	Effect
1	Boost Jump	n/a	Hits one enemy, moderate damage
1	Dynamite	Use "Boost Jump" 8 times	Hit all enemies, light damage each
2	Hyper Jump	Inflict the killing blow on 80 enemies	Hits all enemies, moderate damage
2	Dragon	Use "Hyper Jump" 8 times	Single enemy is struck for light damage; Cid gains an amount of HP and MP equal to that enemy's current MP
3	Dragon Dive	Inflict the killing blow on a total of 160 enemies	Strikes six times at random for light damage
3	Big Brawl	Use Dragon Dive 8 times	Hits at random 8 times for light damage
4	Highwind	Use "Highwind" item	Strikes randomly 18 times for light damage

Cloud's Limit Breaks
Level	Name	How to Get It	Effect
1	Braver	n/a	Focuses energy into sword and attacks for moderate damage to single target
1	Cross Slash	Use "Braver" 8 times	Slightly more damage than Braver; paralysis condition
2	Blade Beam	Inflict the killing blow on 80 enemies	Blasts one enemy with energy for moderate damage; other enemies take damage equal to 1/4 of that amount
2	Climhazzard	Use "Blade Beam" 8 times	Heavy damage to one enemy
3	Meteorain	Inflict the killing blow on a total of 160 enemies	Six meteors hit enemies at random for light damage
3	Finishing Touch	Use "Meteorain" 8 times	Creates a giant tornado which kills all normal enemies instantly; moderate damage to each target against bosses
4	Omnislash	Use "Omnislash" Item	Hits fifteen times, random targeting, for moderate damage each

Red-XIII's Limit Breaks
Level	Name	How to Get It	Effect
1	Sled Fang	n/a	Moderate damage to one target
2	Lunatic High	Use "Sled Fang" 8 times	Casts Haste on party, raises odds of dodging by 50%
2	Blood Fang	Inflict the killing blow on 80 enemies	Hits one enemy for light damage; his HP/MP are refilled by amount equal to enemy's MP
2	Stardust Ray	Use "Blood Fang" 8 times	Strikes ten times, light damage each, random targets
3	Howling Moon	Inflict the killing blow on a total of 160 enemies	Casts Haste and Berserk on himself, attack power goes up
3	Earth Rave	Use "Howling Moon" 8 times	Attacks five times randomly for moderate damage
4	Cosmo Memory	Use "Cosmo Memory" item	Hits all enemies for major damage

Tifa's Limit Breaks work a little differently than everyone else's. They are all cumulative. I have therefore not given effects, as basically they are all just powerful attacks.

Tifa's Limit Breaks
Level	Name	How to Get It
1	Beat Rush	n/a
1	Somersault	Use "Beat Rush" 8 times
2	Water Kick	Inflict the killing blow on 80 enemies
2	Meteodrive	Use "Water Kick" 8 times
3	Dolphin Blow	Kill a total of 160 enemies
3	Meteor Strike	Use "Dolphin Blow" 8 times
4	Final Heaven	Use the "Final Heaven" item

Vincent's Limit Breaks
Level	Name	How to Get It	Effect
1	Galian Beast	n/a	Increased speed, increased evade, 30% higher HP max. Berserk Dance almost always hits for light damage. Beast Flair inflicts heavy fire damage.
2	Death Gigas	Inflict killing blow on 60 enemies	Increased defense, double HP, but slow and weak vs. magic. Uses Gigadunk (physical attack) and Live Spark (lightning-typed damage)
3	Hell Masker	Inflict killing blow on a total of 120 enemies	Strong physical defense, weak offense. Splatter Combo hits five times, for about the same total damage as Gigadunk. Nightmare inflicts Sleep, Poison, Confuse, Silence, Frog, and Mini
4	Chaos	Use "Chaos" Item	Very strong physical and magic defense and powerful offense. Chaos Saber is like Gigadunk but targets all enemies. Satan Impact does massive typeless damage and sometimes kills instantly

Yuffie's Limit Breaks
Level	Name	How to Get It	Effect
1	Greased Lightning	n/a	Hits one enemy, light damage
1	Clear Tranquil	Use "Greased Lightning" 8 times	Each ally is healed by amount equal to 50% of their HP max
2	Landscaper	Inflict killing blow on 80 enemies	Moderate damage to all enemies
2	Bloodfest	Use "Landscaper" 8 times	Hits ten times at random, light damage each
3	Gauntlet	Inflict killing blow on a total of 160 enemies	Heavy damage to all enemies
3	Doom of the Living	Use "Gauntlet" 8 times	Hits 15 times at random for light damage each
4	All Creation	Use "All Creation" item	Hits all enemies, very heavy damage

Everyone's fourth-level limit break is learned by using an item. These items can be found in the following locations:

Limit Break Items
Person	Item	Where Found
Cloud	Omnislash	Purchase with Battle Points in Gold Saucer's Battle Square
Tifa	Final Heaven	Play Do Re Mi Ti La Do Re Mi So Fa Do Re Mi on the piano in her room in Nibelheim
Aeris	Great Gospel	Get the Mythril from the old man sleeping in the cave near Junon, then give it to the Blacksmith near Gongaga. Open the smaller box to get the item.
Barrett	Catastrophe	Get it in North Corel after the train event
Red-XIII	Cosmo Memory	Defeat Lost Number in the safe in the Shin-Ra Mansion
Cid	Highwind	Find it in the Downed Shin-Ra Plane
Yuffie	All Creation	Defeat the five bosses in Wutai Pagoda
Cait Sith	n/a	n/a
Vincent	Chaos	Enter Lucretsia's Cave (near the downed Shin-Ra plane) on Disc 2 and again on Disc 3.