Here is the full list of all 28 Harvest Moon: Light of Hope achievements.
Unlock all achievements.
Cook all recipes.
Record all items in the encyclopedia.
Harvest all crops.
Catch all fish.
Have your child grow up.
Using medicine, cure your child from Petrifaction.
Win the Cooking Festival, Fishing Festival, and Dog Race on Advanced.
Harvest all flowers.
Have a child.
Get married to someone.
Propose marriage to someone.
Mine all gems and ore.
Reach the bottom of the mine.
Place the last stone tablet by the lighthouse and revive the island.
Make strawberry jam and revive the Harvest Goddess.
Place four stone tablets by the lighthouse.
Become more than friends with someone.
Become a good friend with someone.
Become closer to a friend.
Place three stone tablets by the lighthouse.
Get a fishing rod to catch fish.
Get a hammer to break rocks and mine ore.
Become friends with someone.
Place two stone tablets by the lighthouse.
Learn the basics of farming.
Place the first stone tablet by the lighthouse.
Get an axe to cut down trees.