Here is the full list of all 17 Castle Clicker achievements.
Start a New New Game Plus
Use the Big Red Button
Reach New Game Plus 5
Reach Level 200
Perform a Progress Reset
Use one of each Time Stone
Find 10 Artifacts
Use a Super Mine Stone
Build a Paper Refinery
Start a New Game Plus
Collect a Level 7 Daily Stone
Reach Level 50
Build a Grand Casino
Build an Airship
Complete a Guild
Reach Level 10
Complete the Tutorial