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