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