Here is the full list of all 49 Asterigos: Curse of the Stars achievements.
Complete All Achievements
Complete A Round of Game With Level 20 or Lower
Witness Minerva's Sacrifice
Collect All Echoes
Upgrade Three Weapons To Max Level
Upgrade Four Enhancements To Max Level
Open All Treasure Chests
Finish Bion's Dogtags Quest
Upgrade A Weapon To Max Level
Complete All Trinity Challenges
Defeat Pallas
Defeat All Teumess
Defeat All Mimics
Witness Minerva's Determination
Defeat Eumenides
Activate All Conduits
Read 250 Discoveries Documents
Collect At Least 20 Craftable Trinkets
Finish the Loser Noble Quest
Collect All Scores
Upgrade An Enhancement To Max Level
Finish Otto's Last Resort Quest
Defeat Astraix
Defeat Breathless
Defeat Wassily
Defeat Soleucus
Defeat Hiems
Defeat Anagnos
Defeat Doron
Defeat Kavouras
Defeat Miltos
Progress To The Event of Trinity
Defeat Andreas
Defeat Marble
Defeat All Hellhounds
Defeat Avatar of Titan
Activate the Bridge to the Depths
Defeat Bion In The Final Training
Defeat the Black Warden
Gain Starlight's Trust
Open 50 Treasure Chests
Progress To The Event of The Laurel Craft
Defeat Garrison
Read 100 Discoveries Documents
Defeat Colossi
Defeat Eulalia
Defeat Baraad
Defeat Raveneous
Retrieve All Weapons