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