Here is the full list of all 21 Age of Conquest IV achievements.
Win against the Inhuman-AI.
Creating a ballot to be voted on by others.
Make a treaty with another culture.
Eliminate 100 enemy units.
Achievement for playing 1h or more.
Hold 80% more of all the occupiable territory combined.
Achievement for a first game won.
Build a watch tower.
Eliminate 10 enemy units.
Achievement for a completing the tutorial.
Hold a fertility festival in one of your settlements.
Declare war against a much larger nation.
Achievement for playing 24h or more.
Achievement for 10 games won.
Win a game playing as Sparta.
Eliminate 1000 enemy units.
Being very liked by the AI players.
Being very much hated by the AI players.
Playing the first multiplayer game.
First multiplayer game won.
Casting a vote on a ballot.