Here is the full list of all 61 MOAI 3: Trade Mission Collectors Edition achievements.
For completing one level twice and improving your results
For completing every level
For completing every level with a gold medal
For earning every achievement
For acquiring every artifact
For completing every alternate level
For completing every level of Cluster 3
For restoring 50 bridges
For achieving the maximum “Influence”
For completing every level of Cluster 3 with a gold medal
For achieving the maximum “Diplomacy”
For scoring 1,250,000 points
For preparing 100 fields
For recruiting 300 workers
For removing 400 stone obstacles
For driving away 300 bandits
For planting 100 groves
For building 20 temples
For achieving the maximum “Speed”
For driving away 150 bandits
For scoring 1 million points
For building 300 buildings
For driving away 50 bandits
For building 50 mines
For gathering more than 5,000 units of stone while playing a level
For building 50 sawmills
For chopping down 300 trees
For scoring 800,000 points
For gathering more than 5,000 units of wood while playing a level
For completing every level of Cluster 2
For completing every level of Cluster 2 with a gold medal
For making 100 trades at the market
For scoring 600,000 points
For repairing 100 buildings
For removing 200 stone obstacles
For chopping down 150 trees
For producing 5,000 gold coins
For producing 10,000 gold coins
For gathering more than 6,000 coins while playing a level
For repairing 50 quarries
For gathering more than 5,000 units of mana while playing a level
For gathering more than 2,000 units of essential oil while playing a level
For scoring 400,000 points
For fishing 250 times
For completing every level of Cluster 1
For completing every level of Cluster 1 with a gold medal
For scoring 200,000 points
For fishing 125 times
For opening 50 chests
For gathering more than 7,500 units of food while playing a level
For playing for one hour straight
For producing 1,000 gold coins
For chopping down 50 trees
For removing 50 stone obstacles
For scoring 100,000 points
For not clicking on the screen for 30 seconds after a level starts
For clicking 10 times on the same active object
For scoring 60,000 points
For fishing 50 times
For scoring 30,000 points
For starting a game