Here is the full list of all 35 Assault Suit Leynos trophies - there are 19 bronze, 10 silver, 5 gold and 1 platinum.
Protected all bulkheads from enemy attack in stage 5.
Destroyed all gun turrets inside the base in stage 4.
Keep your AS dry in stage 4.
Discovered the hidden path inside the base in stage 4.
Shot down all enemies in the airborne section of stage 4.
Protected the Versis dropship from damage in stage 3.
Destroyed the dropship assault cruiser in stage 3.
Successfully rescued Zosaly in stage 3.
Helped all of the shuttles escape in stage 2.
Destroyed Nox in stage 2 without allowing it to escape.
Helped seven shuttles escape in stage 2.
Helped five shuttles escape in stage 2.
Helped six shuttles escape in stage 2.
Helped three shuttles escape in stage 2.
Helped four shuttles escape in stage 2.
Helped two shuttles escape in stage 2.
Destroyed the attack ship in stage 1 before it came within 45 miles of the base.
Cleared any stage without using the Shield once.
Destroyed the attack ship in stage 1 before it came within 30 miles of the base.
Defeated 30 or more Zako (Deck I, green) in any one stage.
Completed the Mastery List - you're a top AS pilot!
Cleared all stages in Arcade Mode.
Cleared all stages in Classic Mode.
Completed the game having earned all of the weapons.
Completed stage 1 with a score of exactly 2800 pts (Arcade or Classic mode)
Destroyed all enemy bunkers in stage 6.
Destroyed all enemies inside the base in stage 6.
Destroyed all gun turrets inside the base in stage 6.
Left all mines unexploded in stage 7.
Destroyed all large energy tanks in stage 7.
Cleared any stage with melee attacks only.
Destroyed all escaping ships in stage 7.
Completed stage 1, 2, 3, or 5 without taking damage.
Destroyed all gun turrets inside the flagship in stage 8.
Saved by Zosaly in stage 8.