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