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