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