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