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