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 140 eggs.
Make 25 sun solutions.
Catch 160 fish.
Hunt down 65 wild animals.
Gather 40 sacks of night flowers.
Find 60 lost crates and barrels.
Destroy the Dark Lord.
Find 300 mushrooms.
Find 12 pearls.
Find 12 treasures.
Pick 45 herbs.
Find 150 mushrooms.
Fight 12 battles.
Own 5,000 gold coins.
Learn an expert skill.
Have 350 fame.
Heal five people.
Help two ghosts.
Find father.
Find 30 lost crates and barrels.
Gather 15 barrels of algae.
Find 25 crayfish.
Build or repair 10 structures.
Catch 80 fish.
Become a soldier.
Hunt down 25 wild animals.
Own 500 gold coins.
Learn an advanced skill.
Get a boat.
Have 100 fame.
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.