Here is the full list of all 52 Dark Rose Valkyrie achievements.
Defeated a Chimera for the first time.
Used Ignition for the first time.
Used Overdrive for the first time.
During the first eradication mission, eliminated all Chimera.
During the second eradication mission, eliminated all Chimera.
During the third eradication mission, eliminated all Chimera.
During the fourth eradication mission, eliminated all Chimera.
During the sixth eradication mission, eliminated all Chimera.
During the seventh eradication mission, eliminated all Chimera.
During the eighth eradication mission, eliminated all Chimera.
During the tenth eradication mission, eliminated all Chimera.
During the eleventh eradication mission, eliminated all Chimera.
During the twelfth - fifteenth eradication missions, eliminated all Chimera.
Defeated Jormurgand during the third night extermination mission.
Defeated Barakeet during the first Dangerous Creature extermination mission.
Defeated Balt Kaiser during the second Dangerous Creature extermination mission.
Defeated Anoma Shadow during the third Dangerous Creature extermination mission.
Defeated Shadowrise Kaiser during the fourth Dangerous Creature extermination mission.
Defeated Ignis Dragon during the ninth elimination mission.
Defeated Gigant Armor during the fifth Dangerous Creature extermination mission
Defeated Chimera-Anima during the sixth Dangerous Creature extermination mission.
Defeated Roblebraun during the seventh Dangerous Creature extermination mission.
Defeated 100 Chimera.
Defeated 1000 Chimera.
Defeated 10000 Chimera.
Inflicted over 10,000 damage during battle.
Inflicted over 100,000 damage during battle.
Number of HITs during battle passed 100.
Number of HITs during battle passed 200.
Used a Side Attack for the first time.
Used over 100 Side Attacks.
Used an Additional Attack for the first time.
Used over 100 Additional Attacks.
Used a Cooperation Attack for the first time.
Used over 100 Cooperation Attacks.
Used Support Defense for the first time.
Used Support Defense over 50 times.
Used a Special Skill for the first time.
Used over 100 Special Skills.
Changed your formation for the first time.
Used the Treatment Room for the first time.
Repaired a uniform for the first time.
Developed a Remodeling part for the first time.
Developed over 100 Remodeling parts.
Cleared the game.
Inflicted over 500,000 damage during battle.
Number of HITs during battle passed 300.
Strengthened any uniform to its maximum.
Strengthened any TCS to its maximum.
Raised any stats to 999.
Achieved the True Ending on [Very Hard].
Cleared the eighth Dangerous Creature extermination.