Final Fantasy VI is the first title in the series to introduce what are known as limit breaks. All characters in the game but Umaro and Gau have a "Desperation Attack". If a character is near death, there is a 1/16 chance they will perform a limit break rather than their regular attack. It is extremely rare to see one, but it should happen once during the game.
Terra's limit break: Riote Blade
Attack Power
142
Description
Deals magical damage to one enemy.
Edgar's limit break: Royal Shock
Attack Power
143
Description
Deals magical damage to one enemy.
Sabin's limit break: Tiger break
Attack Power
140
Description
Deals magical damage to one enemy.
Locke's limit break: Mirage Dive
Attack Power
139
Description
Deals magical damage to one enemy.
Shadow's limit break: Shadow Fang
Attack Power
140
Description
Magical damage and inflicts Sap
Celes' limit break: Spin Edge
Attack Power
143
Description
Deals magical damage to one enemy.
Cyan's limit break: Tsubame Gaeshi
Attack Power
140
Description
Deals magical damage to one enemy.
Setzer's limit break: Red Card
Attack Power
147
Description
Deals magical damage to one enemy.
Mog's limit break: Moogle Rush
Attack Power
150
Description
Deals magical damage to one enemy.
Strago's limit break: Saber Soul
Attack Power
-
Description
Instant KO to one enemy.
Relm's limit break: Star Prism
Attack Power
-
Description
Instant KO to one enemy.
Gogo's limit break: **Punishing Meteor
Attack Power
146
Description
Deals magical damage to one enemy.
**Gogo can only use his/her Attack if he/she has the Fight command equipped.