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