Here is the full list of all 30 ALTAIR BREAKER trophies - there are 12 bronze, 11 silver, 6 gold and 1 platinum.
Received all Trophies
Defeated LAWS-ZERO's final form
Defeated LAWS-ZERO's third form
Defeated the upgraded LAWS-ZERO
Defeated LAWS-ZERO for the first time
Destroyed Battle AI 1000 times
Reached Player Level 20
Destroyed Battle AI 500 times
Destroyed Battle AI 100 times
Reached Player Level 15
Reached Player Level 10
Reached Attack Grading S
Reached Reward Rank S
Equipped a 2-hand weapon
Dual wielded a pair of weapons
Upgraded a weapon for the first time
Purchased an item for the first time
Completed the tutorial
Visited the ALTAIR Lounge for the first time
Used dash for the first time
Used the glider for the first time
Raised your weapon for the first time
Activated a barrier for the first time
Defeated an enemy with Surge Mode for the first time
Damaged an enemy with a shockwave for the first time
Defeated an enemy with a charge attack for the first time
Lured enemies to yourself for the first time
Climbed a wall for the first time
Launched an enemy into the air for the first time
Used an item for the first time