Here is the full list of all 34 Dawn of Andromeda achievements.
Mine a resource deposit
Destroyed a Space Creature
Achieve a Diplomatic Victory
Win a game with the Terran Union
Have 3.0 Productivity in any colony
Survey an item of interest
Reach your first year in the game
Colonize a planet
Achieve an Ascendency Victory
Achieve a Sceptre of Kri Victory
Achieve an Economic Victory
Achieve a Domination Victory
Achieve a Survival Victory
Invade an enemy colony
Have a Council member reach level 5
Win a game in any victory condition in the Divine difficulty mode
Start your first war
Get 20 Influence
Finish the Stars and Beyond Era
Finish The Sython Domain Era
Finish the A Time for Peace Era
Finish the The Calm Before The Storm Era
Finish the The Second Great War Era
Finish the Towards a New Plane of Existence Era
Finish the A New Dawn Era
Win a game with the Kalzur Federation
Win a game with the Ynan Commonwealth
Win a game with the Orolith Confederation
Win a game with the Ulkar Republic
Win a game with the Sython Collective
Win a game with the Aethis Conglomerate
Win a game with the Drekkos Order
Have a unit reach Colonel rank