Here is the full list of all 73 MOAI 4: Terra Incognita Collectors Edition achievements.
For upgrading every artifact to the max
For earning every achievement
For scoring 1,250,000 points
For building 75 forges
For recruiting 300 workers
For scoring 1 million points
For building 75 oil presses
For repairing 75 quarries
For making 50 trades
For removing 500 stone obstacles
For completing one level twice AND improving your results
For crafting 50 artifacts
For completing every level
For completing every level with a gold medal
For completing every level of chapter 4 with a gold medal
To earn this figurine, complete every chapter of the game with a gold medal
For achieving the maximum level of Diplomacy
For completing every bonus level
For building 10 lighthouses
For building 10 temples
For repairing 30 bridges
For building 75 sawmills
For achieving the maximum level of Speed
For producing more than 3,000 units of coconut oil while playing a level
For scoring 800,000 points
For fishing 150 times
For picking the fruit off 75 trees
For gathering more than 5,000 units of wood while playing a level
For chopping down 400 trees
For achieving the maximum level of Influence
For building 300 buildings
For producing more than 6,000 units of ore while playing a level
For crafting 30 artifacts
For completing every level of chapter 3
For completing every level of chapter 3 with a gold medal
For gathering more than 5,000 units of stone while playing a level
For scoring 600,000 points
For not clicking on the screen for 30 seconds after a level starts
For making every artifact
For preparing 75 fields
For opening 200 chests
For crafting 10 artifacts
For producing 10,000 units of coconut oil
For gathering more than 5,000 units of mana while playing a level
For chasing away 300 hungry birds
For forging 10,000 units of ore
For completing every level of chapter 2
For completing every level of chapter 2 with a gold medal
For repairing 100 buildings
For scoring 400,000 points
For removing 200 stone obstacles
For forging 5,000 units of ore
For clicking 10 times on the same active object
For producing 5,000 units of coconut oil
For chopping down 200 trees
For chasing away 200 hungry birds
For forging 1,500 units of ore
For fishing 100 times
For chasing away 100 hungry birds
For producing 1,500 units of coconut oil
For scoring 200,000 points
For gathering more than 10,000 units of food while playing a level
For removing 50 stone obstacles
For completing every level of chapter 1
For completing every level of chapter 1 with a gold medal
For playing for one hour straight
For scoring 100,000 points
For chopping down 100 trees
For fishing 50 times
For the constructing a ship
For scoring 60,000 points
For scoring 30,000 points
For starting a game