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