Here is the full list of all 28 Harvest Moon: Light of Hope Special Edition trophies - there are 8 bronze, 13 silver, 6 gold and 1 platinum.
Have your child grow up.
Using medicine, cure your child from Petrifaction.
Have a child.
Get married to someone.
Win the Cooking Festival, Fishing Festival and the Dog Race on Advanced.
Propose marriage to someone.
Become more than friends with someone.
Place the last stone tablet by the lighthouse and revive the island.
Reach the bottom of the mine.
Mine all gems and ore.
Place four stone tablets by the lighthouse.
Make strawberry jam and revive the Harvest Goddess.
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.
Become friends with someone.
Get a hammer to break rocks and mine ore.
Place two stone tablets by the lighthouse.
Get an axe to cut down trees.
Place the first stone tablet by the lighthouse.
Learn the basics of farming.
Unlock all achievements.
Catch all fish.
Harvest all crops.
Harvest all flowers.
Cook all recipes.
Record all items in the encyclopedia.