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.
Have 350 fame.
Own 500 gold coins.
Own 5,000 gold coins.
Learn an expert skill.
Rest 50 times in a camp.
Build or repair 10 structures.
Find father.
Fight 12 battles.
Heal five people.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Make 25 sun solutions.
Find 300 mushrooms.
Find 140 eggs.
Hunt down 25 wild animals.
Hunt down 65 wild animals.
Find 30 lost crates and barrels.
Find 60 lost crates and barrels.
Catch 80 fish.
Catch 160 fish.
Find 12 pearls.
Gather 15 barrels of algae.
Find 12 treasures.
Help two ghosts.
Destroy the Dark Lord.
Find 25 crayfish.
Become a soldier.
Find 150 mushrooms.
Have 100 fame.
Get a boat.
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.