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