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