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
Read 250 Discoveries Documents
Defeat All Mimics
Progress To The Event of Trinity
Finish the Loser Noble Quest
Finish Otto's Last Resort Quest
Defeat All Hellhounds
Defeat the Black Warden
Gain Starlight's Trust
Defeat Avatar of Titan
Upgrade A Weapon To Max Level
Defeat Andreas
Defeat Marble
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
Complete All Achievements
Witness Minerva's Sacrifice
Activate the Bridge to the Depths
Finish Bion's Dogtags Quest
Defeat All Teumess
Defeat Bion In The Final Training
Complete All Trinity Challenges
Defeat Miltos
Defeat Kavouras
Defeat Doron
Defeat Anagnos
Defeat Hiems
Defeat Soleucus
Defeat Wassily
Defeat Breathless
Defeat Astraix
Defeat Pallas
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
Collect All Scores
Open All Treasure Chests
Collect At Least 20 Craftable Trinkets