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