Here is the full list of all 53 Dark Rose Valkyrie trophies - there are 45 bronze, 5 silver, 2 gold and 1 platinum.
Used over 100 Special Skills.
Defeated Balt Kaiser during the second Dangerous Creature extermination mission.
Used over 100 Cooperation Attacks.
Cleared the eighth Dangerous Creature extermination.
Defeated Roblebraun during the seventh Dangerous Creature extermination mission.
Defeated Chimera-Anima during the sixth Dangerous Creature extermination mission.
Inflicted over 500,000 damage during battle.
During the twelfth - fifteenth eradication missions, eliminated all Chimera.
Defeated Gigant Armor during the fifth Dangerous Creature extermination mission
Defeated Ignis Dragon during the ninth elimination mission.
Cleared the game.
Achieved the True Ending on [Very Hard].
Used Overdrive for the first time.
Defeated Shadowrise Kaiser during the fourth Dangerous Creature extermination mission.
During the eleventh eradication mission, eliminated all Chimera.
Defeated Anoma Shadow during the third Dangerous Creature extermination mission.
Used a Special Skill for the first time.
During the tenth eradication mission, eliminated all Chimera.
Changed your formation for the first time.
During the eighth eradication mission, eliminated all Chimera.
Strengthened any TCS to its maximum.
During the seventh eradication mission, eliminated all Chimera.
Defeated Barakeet during the first Dangerous Creature extermination mission.
During the sixth eradication mission, eliminated all Chimera.
Used over 100 Additional Attacks.
Used over 100 Side Attacks.
Used Support Defense over 50 times.
Number of HITs during battle passed 200.
Defeated Jormurgand during the third night extermination mission.
During the fourth eradication mission, eliminated all Chimera.
Defeated 1000 Chimera.
During the third eradication mission, eliminated all Chimera.
Used a Cooperation Attack for the first time.
Number of HITs during battle passed 100.
During the second eradication mission, eliminated all Chimera.
Used Support Defense for the first time.
Used an Additional Attack for the first time.
During the first eradication mission, eliminated all Chimera.
Strengthened any uniform to its maximum.
Developed over 100 Remodeling parts.
Developed a Remodeling part for the first time.
Inflicted over 100,000 damage during battle.
Defeated 100 Chimera.
Used a Side Attack for the first time.
Used the Treatment Room for the first time.
Used Ignition for the first time.
Inflicted over 10,000 damage during battle.
Repaired a uniform for the first time.
Defeated a Chimera for the first time.
Obtained all trophies.
Defeated 10000 Chimera.
Number of HITs during battle passed 300.
Raised any stats to 999.