Here is the full list of all 33 Idle Kingdom Builder achievements.
Distribute 100 workers
Erect 5 cities
Play 30 action events
Reach kingdom level 100
Reach level 25 in a city
Erect 8 buildings
Earn 500000000 gold
Tap 7500 times on the tap button
Erect 75 buildings
Erect 180 buildings
Tap 75000 times on the tap button
Tap 1500000 times on the tap button
Erect 8 cities
Erect 14 cities
Reach level 40 in a city
Reach level 70 in a city
Erect a building until you reach level 30
Erect a building until you reach level 80
Erect a building until you reach level 180
Play 100 action events
Play 350 action events
Distribute 300 workers
Distribute 750 workers
Earn 1M4 gold
Earn 1M10 gold
Reach kingdom level 300
Reach kingdom level 1000
Reach Level 40 on Dragon Island
Reach Level 60 on Dragon Island
Reach Level 75 on Dragon Island
Reach level 40 on Octo Island
Reach level 60 on Octo Island
Reach level 75 on Octo Island