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