Here is the full list of all 20 Captain Cat (Asia) trophies - there are 6 bronze, 5 silver, 8 gold and 1 platinum.
Unlock all other trophies
Destroy 2 eels with the red anchor
Complete all Perfect Mode levels
Collect all the stars in the Housekeeper levels
Complete all Housekeeper levels
Read all the scrolls
Catch the fish while being attacked by jellyfish
Collect 100 gold stars
Earn 100,000 points
Collect all the stars in the Waspfish levels
Complete all Waspfish levels
Collect 50 gold stars
Pass through 4 rocks with the red anchor
Collect 30 gold stars
Complete 5 levels within the time set
Complete 5 levels using the given number of knots or less
Complete 5 levels collecting all the coins
Collect 10 gold stars
Complete 2 consecutive levels with 3 stars
Collect a gold star