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