Here is the full list of all 49 Asterigos: Curse of the Stars achievements.
Defeat All Hellhounds
Complete All Trinity Challenges
Defeat Astraix
Defeat Breathless
Defeat Wassily
Defeat Soleucus
Defeat Hiems
Defeat Anagnos
Defeat Doron
Defeat Kavouras
Defeat Miltos
Complete A Round of Game With Level 20 or Lower
Witness Minerva's Determination
Defeat Eumenides
Defeat Pallas
Progress To The Event of Trinity
Defeat the Black Warden
Upgrade A Weapon To Max Level
Defeat Avatar of Titan
Defeat Bion In The Final Training
Defeat Andreas
Read 100 Discoveries Documents
Open 50 Treasure Chests
Defeat Marble
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 Mimics
Gain Starlight's Trust
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