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