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 300 mushrooms.
Find 60 lost crates and barrels.
Make 25 sun solutions.
Gather 40 sacks of night flowers.
Pick 45 herbs.
Gather 15 barrels of algae.
Catch 160 fish.
Find 140 eggs.
Own 5,000 gold coins.
Find 12 treasures.
Hunt down 65 wild animals.
Destroy the Dark Lord.
Fight 12 battles.
Find 12 pearls.
Have 350 fame.
Help two ghosts.
Heal five people.
Learn an expert skill.
Find father.
Own 500 gold coins.
Build or repair 10 structures.
Hunt down 25 wild animals.
Find 25 crayfish.
Find 30 lost crates and barrels.
Catch 80 fish.
Become a soldier.
Have 100 fame.
Find 150 mushrooms.
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.