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