Here is the full list of all 34 Kingdom: New Lands achievements.
For five days you didn't kill anything.
Build the boat and escape the fifth land before day 30.
Escape the final land and earn the crown.
Until the ninth day you never galloped.
By the fourth day you hunted 20 or more deer.
On the third day you started your camp.
Build the boat and escape the second land before day 15.
Build the boat and escape the first land before day 10.
Have a reign that spans five lands.
Build the boat and escape the fourth land before day 25.
By the seventh day you cleared an acre of land.
Earn some antlers to decorate your coat of arms.
Build the boat and escape the third land before day 20.
Survive day 100.
Survive day 90.
Survive day 80.
Survive day 70.
Survive day 60.
Survive day 50.
Survive day 45.
Survive day 40.
Survive day 35.
Survive day 30.
Survive day 25.
By the tenth day you destroyed a portal.
Survive day 20.
Survive day 15.
By the sixth day you had more gold than you could carry.
On the first day you recruited eight archers.
Win your first game.
Survive day 10.
Until the eighth day you never dropped a coin on the ground.
Survive day 5.
On the second day you got free walls.