This took me a lot of research, because the readme file the incomplete Seed-LF2 download was virtually unintelligible. Some of the moves may not be accurate in terms of how I've named them, but all the names (except for Coast and Aegis' Homing Projectile) are terms you'll find in the series Mobile Suit Gundam Seed:

Strike:
Armor Schneider: A
Armor Schneider Combo: AAAA
Igelstellung: DA
Recoilless Rifle: D>A

Aile Strike:
Beam Saber: A
Beam Saber Combo: AA
Igelstellung: DA
Double Beam Saber: D^J
Beam Rifle: D>A
Beam Rifle Berserker: D>J
Continuous Igelstellung: DvJ
Coast: J + D>J

Moebius Zero:
Linear Gun: A
Coast: J
Linear Gun Berserker: D>A
Wired Gunbarrel: DvJ
Wired Gunbarrel Berserker: D>J / D^J

Archangel:
Igelstellung: A
Coast: J
Sledghammer and Helldart: DA
Lohengrin: D>A
Gottfried: D>J
Valiant: D^J
Aile Pack: DJA (less than 1/3 HP)

Aegis:
Beam Saber: A
Beam Saber Combo: AAA
Igelstellung: DA
Double Beam Saber: DvA
Beam Rifle: D>A
Beam Rifle Berserker: D>J
Homing Projectile (Shield?): D^A
Mobile Armor Berserker: D^J / DvJ
Scylla: DJA
Mobile Armor Coast: J + D>J
Grappling Scylla: J + D>J + A (Grab enemy in mid-air) + A

Gin:
Heavy Blade: A
Heavy Blade Combo: AA
Machine Gun: DA
Recoilless Rifle: D>A
Heavy Ion Cannon: DJA

I've found yet more moves (surprise, surprise):

>>D OR >>A

Strike (Armor Schneider Stab)
Aile Strike (Shadow Beam Saber)
Moebius Zero (Running Linear Gun)
Archangel (Running Igelstellung)
Aegis (Beam Saber)
Gin (Heavy Blade)