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