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