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