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