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