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 60 lost crates and barrels.
Catch 160 fish.
Own 5,000 gold coins.
Find 300 mushrooms.
Hunt down 65 wild animals.
Find 140 eggs.
Rest 50 times in a camp.
Find 12 pearls.
Find 12 treasures.
Destroy the Dark Lord.
Make 25 sun solutions.
Fight 12 battles.
Have 350 fame.
Help two ghosts.
Heal five people.
Gather 40 sacks of night flowers.
Gather 15 barrels of algae.
Catch 80 fish.
Find father.
Build or repair 10 structures.
Pick 45 herbs.
Learn an expert skill.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Find 150 mushrooms.
Hunt down 25 wild animals.
Have 100 fame.
Get a boat.
Learn an advanced skill.
Own 500 gold coins.
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.