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 60 lost crates and barrels.
Have 350 fame.
Own 5,000 gold coins.
Fight 12 battles.
Heal five people.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Make 25 sun solutions.
Find 140 eggs.
Hunt down 65 wild animals.
Catch 160 fish.
Find 12 pearls.
Find 12 treasures.
Destroy the Dark Lord.
Help two ghosts.
Learn an expert skill.
Build or repair 10 structures.
Find father.
Rest 50 times in a camp.
Find 25 crayfish.
Find 30 lost crates and barrels.
Become a soldier.
Hunt down 25 wild animals.
Find 150 mushrooms.
Have 100 fame.
Gather 15 barrels of algae.
Catch 80 fish.
Get a boat.
Own 500 gold coins.
Learn an advanced skill.
Finish the water mill.
Learn three skills.
Get a weapon.
Leave the home farm.
Make a barter.
Get working tools.
Saw 10 pieces of wood.