Here is the full list of all 50 Commander: Conquest of the Americas achievements.
Completed the Getting Started Tutorial
Palace level 1 built
Passed the 1st 5 years in the game
Sold 1st cargo
Discovered 20 empty colony spots in one game
Established 1st colony
20 years without fighting
Fought the 1st naval battle
Player concluded the 1st diplomatic negotiations
Player got over 100 ships
Control 50 warships at the same time during a normal campaign
100% colony morale achieved
Successfully capture 10 ships with boarding action
100 Trips to home port
1000 Trips to home port
10000 Trips to home port
1000 tons sugar to home port
1000 tons of gold to home port
Colonies in every territory
1000 units of resources gotten from Indians
50 attacks from Indians
Palace level 2 built
Palace level 3 built
1000 units of rum imported
1000 units of cigars imported
Allies with all other nations
At war with all nations at once
Player has more than 100,000 colonists
Reached 25 000 soldiers on ships and in garrisons
Built every single ship in game
3 different product factories in one city
Played 10 tactical battles with "Sunset" as the time of day all during one campaign
Hit one enemy ship, range 2000 or more
Built one of every tradeship type in a single game
Built one of every warship type in a single game
Sank 40 enemy ships in a single game
Defeat 3 enemy nations
Conquer a total of 10 colonies
Declare war 20 times
Get 1 Million in the bank
Get 10 million in the bank
10 colonies founded in a single game
Sink 20 pirate ships
Establish at least 3 colonies in area 1
Player has 5/4/3 colonies in area 4 (easy/normal/hard)
Player has a total of 30 tradeships, atleast 3 traderoutes with 5 stops
Player has a colony in every colony spot
Win 20 tactical battles without losing one ship
Won a battle without taking any damage on any ship
Visit 5 ports with at least 200 colonists onboard from your homeport and then return home.