Here is the full list of all 38 Dragon Island achievements.
Chang is elected the True Top
Black is elected the True Top
Yoshi is elected the True Top
Napoleon is elected the True Top
Mo Tse is elected the True Top
Henry is elected the True Top
Leong is elected the True Top
Reveal Demon Dragon's True Identity
Getting shot
Getting blown away by a mine
Discover the reality of the world
Go back to your humble normal life
Get on board after leaving
Reach all endings
Uncover Leong's secret
Play along with Leong
Reveal Leong's True Identity
Exchange information with Chang
Flirt with Chang
Watch as Black flirts with Chang
Find Black's personal collection
Find Black's raft
Tell everyone Black's building a raft
Tell everyone Black's building a raft, twice
Addressing milk shortage on the island
Watch sunrise
Flirt with Yoshi
What is the safe word again?
Do your job
Who Asked?
I Asked.
Get prepared to make your own bread
Question others 100 times in a single run
May I have your numbers, please?
Answer Black's questions correctly
Bake 50 perfect bread in total
Catch 50 fish in total
Collect all kinds of rare fish