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