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