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