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