Here is the full list of all 35 STORY OF SEASONS: Friends of Mineral Town achievements.
Own 5 pets.
Eat at least one of every type of dish you can make.
Cook every kind of dish.
Reach Spring of Year 5.
Make 300 offerings to the Harvest Goddess. (1x per day)
Win the Fluffy Festival.
Have a total of 5,000,000G at once.
Ship every type of crop with ★5 quality.
Win the Moo-Moo Festival.
Own at least 8 alpacas.
Own at least 8 sheep.
Get married.
Successfully confess to every romance option before marriage.
Cook 50 different kinds of dishes.
Catch every type of fish.
Breed at least one of every livestock type.
Catch 50 different types of fish.
Ship every type of crop.
Own at least 4 Angora rabbits.
Own at least 8 cows.
Reach Spring of Year 3.
Cook 10 different kinds of dishes.
Stay in the Hot Spring for 10 hours straight.
Reach BF255 in a mine.
Renovate every building on your farm.
Reach BF100 in a mine.
Own at least 4 chickens.
Have a total of 100,000G at once.
Have a total of 50,000G at once.
Win the Cluck-Cluck Clash.
Reach Spring of Year 2.
Reach BF30 in a mine.
Own at least one of every livestock type.
Catch 10 different types of fish.
Renovate your house twice.