Here is the full list of all 9 Monkey King: Master of the Clouds trophies - there are 5 bronze, 2 silver and 2 gold.
Complete all rounds without dying ever.
Get over 1.2 million points and complete the last round.
Complete all rounds without using a continue.
Get over 1 million points and complete the last round.
Complete the last round.
Complete the 4th round.
Complete the 3rd round.
Complete the 2nd round.
Complete the 1st round.