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