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