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