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