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