Here is the full list of all 38 Hero of the Kingdom achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Find 60 lost crates and barrels.
Find 140 eggs.
Find 300 mushrooms.
Make 25 sun solutions.
Catch 160 fish.
Gather 15 barrels of algae.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Own 5,000 gold coins.
Hunt down 65 wild animals.
Rest 50 times in a camp.
Find 12 pearls.
Find 12 treasures.
Catch 80 fish.
Learn an expert skill.
Destroy the Dark Lord.
Hunt down 25 wild animals.
Fight 12 battles.
Have 350 fame.
Heal five people.
Help two ghosts.
Build or repair 10 structures.
Find father.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Find 150 mushrooms.
Get a boat.
Have 100 fame.
Own 500 gold coins.
Learn an advanced skill.
Finish the water mill.
Learn three skills.
Get a weapon.
Make a barter.
Leave the home farm.
Saw 10 pieces of wood.
Get working tools.