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