Here is the full list of all 19 Homestead achievements.
Planted your first crop!
Purchased your first chicken!
Purchased your first cow!
Purchased your first sheep!
Purchased your first Ostrich!
Purchased your first Silkworm!
Completed Chapter One of the main story
Get Married
Get 5 entries in the Croplopedia
Get 50% of the Croplopedia filled
Fill the Croplopedia
Catch your first fish
Catch 50% of all the fish
Fill the Fishopedia
Have 10,000 Gold Coins
Have 100,000 Gold Coins
You got Horse Achievement!