Here is the full list of all 40 Colonial Conquest achievements.
Play at least 3 games
Control Uruguay, Argentina, Brazil, England, all of France, all of Germany, Spain, Italy
Conquer all of eastern American coast with Britain (Quebec, Eastern USA)
As the German player, conquer the Low Countries on the first turn of the game
As the US player, conquer Kenya
As the Japanese player, conquer all of China
Conquer Venezuela, Southern USA, Arabia, Ottoman Empire, Persia, Kamerun, Central Russia and Rumania.
As any player, control all regions of Scandinavia, Iceland Canada, Australia and New Zealand
As the US player, invade all of Japan
As any player, control Libya, Egypt, Sudan, Horn of Africa, Arabia and Mongolia.
As any player, control in one turn Colombia,Brazil and West Africa
As a German player, conquer the Eastern USA
As any player, control Eastern USA, England, Arabia, Malaya, Southern Germany and Honshu
As any player, control Morroco, Siam, Colombia, Mexico, Jamaica and Afghanistan
Hold all of Arabia, Ottoman Empire, Persia, Egypt, Libya, Tunisia, Algeria, Morroco and Spain
Unite Victoria's family by holding or conquering England, Scotland, North Germany, Southern Germany, Eastern Germany, Norway and Iceland
As any player, control Western USA, Honshu, Sweden and Quebec
Hold at the same time US West Coast (Calfornia), all of France, South Africa, Italy, Chile, Austria-Hungary and New Zealand
As the US player, conquer England
As the Japanese player, conquer North and South Germany
As the US, conquer Arabia, Venezuela, Cuba, Persia and Korea
As any player, lose all territories but Southern USA (Texas!)
As the Russian player, conquer all of continental Europe
Use all of your 20 movement orders in the same turn.
Hold all of South America
Hold a treasury of above £1,000,000,000
Own all the game regions that are NOT adjacent to the seas.
Take a province without suffering a single loss.
Have Dominated Earth with each and every nation
As any player, subvert Germany
Own a region in each of the game's Theater
Conquer all the Earth with Great Britain
Conquer all the Earth with France
Conquer all the Earth with Germany
Conquer all the Earth with Japan
Conquer all the Earth with Russia
Conquer all the Earth with the Unted States
Hold all of Africa
Play at least 5 multiplayer games
Get of above 100,000 Armies with Russia