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