These attacks can be made by any character except Gau and Umaro when they are in the "Near Fatal" position, they are entirely random, unique to the character, and pretty powerful.
Celes- Spin Edge
In this one Celes is chopping the guy up with a Sword even though when I did it she was unequipped, it looks a little like Crono's Cyclone in CT.
Cyan- Back Blade
The screen goes black after Cyan jumps at the enemy and a white slash appears as he slices the enemy.
Edgar- Royal Shock
It looks like he's about to cast a spell then a thing flies up from the enemy that looks similiar to the attack if you get 3 Diamonds with Setzer's Slot.
Gogo- X Meteo
A meteor hits an enemy, looks like Comet from FFVII.
Locke- Mirager
Here Locke jumps at the guy like he's about to Bum Rush him and the screen flashes.
Mog- Moogle Rush
Mog's is just like Pummel, nothing special
Relm- Star Prism
Orange stars float around the enemy's head and it changes colors, then the stars float up and the enemy is instantly killed.
Sabin- Tiger Break
Sabin, inside or behind a Tiger head, flies at the enemy.
Setzer- Red Card
Setzer throws 3 sets of 3 cards at the enemy, similiar to some of his regular attacks.
Shadow- Shadow Fang
Shadow jumps at the enemy and makes scratch marks.
Strago- Sabre Soul
Strago jumps at the guy and he dies instantly, the body floats up like Doom, but there is no Reaper
Terra- Riot Blade
Green Air Blade-esque things fly at the enemy, and it is then pushed away as seen in the 2nd picture.
