Here is the full list of all 50 Farming Life achievements.
Breed an animal
Build 5 decorations
Heal 100 animals.
Reject a quest.
Collect 1000 crops
Field died
Finish a quest.
Lose a competition
Collect 500 crops
Cut 100 trees
Sell 200 products
Sell 100 products
Build 5 buildings
Sell 30 products
Collect 100 crops
Build 5 fields
Finish tutorial
Park in the City
Hire a worker
Complete your first competition
Reach second level
Build 20 fields
Build 50 fields
Build 5 crofts
Build 20 crofts
Build 50 crofts
Buy 5 machines or vehicles
Buy 15 machines or vehicles
Buy 30 machines or vehicles
Build 20 buildings
Build 50 buildings
Build 20 decorations
Build 50 decorations
Collect $10000
Collect $50000
Collect $100000
Finish 5 quests
Finish 10 quests
Finish 15 quests
Collect all hiden crates.
Fire a worker
Collect 1000 carrots
Finish quest fast
Drive through gas station
Reach max level
Get 1st place in daily ranking
Get 4th place in daily ranking
Cut 250 trees
Cut 500 trees
Complete all competitions