Here is the full list of all 14 Small Kingdoms Prologue achievements.
Open the Options window
Fight a ship vs ship battle
Open the Help window
Play a game as the Kingdom of Karaman
Loot an enemy city
Conquer the campaign world
Raze an enemy city
Capture an enemy city
Fight an army vs army battle
Fight a siege battle
Play a campaign as the Kingdom of Nogara
Start the game
Play a game as the Kingdom of Adagra
Play a game as the Kingdom of Oleria