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