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