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