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