Here is the full list of all 20 Merchants of the Caribbean achievements.
Start processing raw materials into materials 200 times
Start production of goods 100 times
Master of the Seas Complete all naval battles with a score of at least 80%
Find all hidden objects
Complete all the Collector's Edition levels with 3 stars
Collect all chests in all island expeditions
Win all naval battles
Develop plantations, forests or deposits 300 times
Complete all the levels of Chapter 4 with 3 stars
Earn 150 000 coins in the game
Earn 30 000 coins in the game
Complete all the levels of Chapter 3 with 3 stars
Earn 80 000 coins in the game
Win naval battles up to level 6
Complete all the levels of Chapter 2 with 3 stars
Earn 10 000 coins in the game
Complete all the levels of Chapter 1 with 3 stars
Earn 1 000 coins in the game
Start the adventure
Win a naval battle