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