Here is the full list of all 36 Professional Farmer: American Dream achievements worth 1,000 gamerscore.
Complete the tutorial
Complete 1 growin cycle
Complete 15 growing cycles
Upgrade all silos to level 3
Own 60 cows
Own 40 pigs
Own 300 chickens
Own 250 sheep
Own 100 ducks
Own 25 goats
Own 10 fields
Own all fields
Own all tractors
Own all trailers
Own all equipment
Own all available machinery
Earn $ 1,000,000
Earn $ 2,500,000
Sell 120 cows
Sell 100 pigs
Sell 600 chickens
Sell 500 sheep
Upgrade the silo to level 3
Complete 50 growing cycles
Own 5 fields
Own 15 fields
Earn $ 150,000
Account balance of $ 5,000,000
Sell 200 ducks
Sell 50 goats