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