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