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