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