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