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