Here is the full list of all 24 Farmer's Dynasty achievements.
Have a child at school
Own 1,000,000 social points
Have a child
Have 10 fields plowed, cultivated and sown
Own 10 fields
Own full set of modern (not old) machines
Own 250,000 Eur
Have 4 fields plowed, cultivated and sown
Catch 100 fish
Get married
Help 50 people
Find and open 30 treasure chests
Drive 100 km
Help 20 people
Fix 100 buildings
Help 10 people
Own a tractor, plough, cultivator, seeder, trailer and a combine
Own 10 animals
Fix 10 buildings
Renew all your farm buildings
Own a tractor
Fix 1 building
Have 1 field plowed, cultivated and sown
Welcome to your new farm!