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