Here is the full list of all 41 Astebreed trophies - there are 24 bronze, 13 silver, 3 gold and 1 platinum.
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Cleared the game on the Hard Difficulty with less than 50,000 damage taken in total. (Chapter Select is not allowed.)
Cleared the game on the Hard Difficulty without using continues. (Chapter Select is not allowed.)
Cleared the game with all mecha on all Difficulties.
Cleared the game on the Normal Difficulty with less than 50,000 damage taken in total. (Chapter Select is not allowed.)
Cleared a chapter on the Hard Difficulty without taking damage.
Destroyed 100 enemies and their attacks using a Spin EX Attack.
Earned 500,000 pts by using an EX Attack.
Cleared the game on the Hard Difficulty.
Continued 5 times.
Locked onto 50 targets at the same time.
Used a Dash EX attack to get a x16 multiplier 30 times in total.
Cleared the game on the Normal Difficulty without using continues. (Chapter Select is not allowed.)
Reached a total score of 300,000,000pts.
Used a Blade Dash attack to get a x16 multiplier ten times in total.
Used an EX Attack to knock a direct attack from Asymptote Void back in Chapter 5.
Cleared a chapter on the Normal Difficulty without taking damage.
Destroyed Queen System in Chapter 6 without taking any damage.
Used Shot to destroy 20,000 enemies and their attacks.
All the Tutorials have been viewed.
Cleared the game on the Normal Difficulty.
Destroyed Asymptote Void and all its parts in Chapter 5.
Destroyed 30 of Dux's batteries in Chapter 4.
Used Blade to destroy 20,000 enemies and their attacks.
Cleared the game on the Easy Difficulty with less than 50,000 damage taken in total. (Chapter Select is not allowed.)
All demo scenes have been skipped.
Used the Wild EX Attack 10 times.
Reached a total score of 100,000,000pts.
Cleared a chapter on the Easy Difficulty without taking damage.
Avoided all of the Lucis capture attacks in Chapter 5.
Reached a total Lock Level of 15,000.
Cleared the game on the Easy Difficulty without using continues. (Chapter Select is not allowed.)
Cleared the game on the Easy Difficulty.
Used the Blade to knock a direct attack from Asymptote Void back in Chapter 5.
Destroyed Dux's outer shell in Chapter 4 by attacking mostly from the outside.
Destroyed a boss using an EX Attack.
Saw every attack pattern used by Asymptote Esto in Chapter 3.
Destroyed the entire enemy fleet in Chapter 3.
Destroyed Asymptote Esto in Chapter 2 swiftly.
Destroyed Agnesi in Chapter 1 but kept its arms intact.
Played the Prologue to the end.