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