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