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.
Catch 160 fish.
Make 25 sun solutions.
Hunt down 65 wild animals.
Gather 40 sacks of night flowers.
Gather 15 barrels of algae.
Catch 80 fish.
Pick 45 herbs.
Hunt down 25 wild animals.
Rest 50 times in a camp.
Own 5,000 gold coins.
Help two ghosts.
Find 12 treasures.
Find 60 lost crates and barrels.
Find 300 mushrooms.
Find 140 eggs.
Find 12 pearls.
Find 25 crayfish.
Find 150 mushrooms.
Find 30 lost crates and barrels.
Destroy the Dark Lord.
Have 350 fame.
Fight 12 battles.
Heal five people.
Find father.
Learn an expert skill.
Build or repair 10 structures.
Have 100 fame.
Become a soldier.
Learn an advanced skill.
Get a boat.
Own 500 gold coins.
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.