Here is the full list of all 11 Tales of Monkey Island - Chapter 3: Lair of the Leviathan trophies - there are 5 bronze, 5 silver and 1 gold.
Defeated DeCava and the Brotherhood
Acquired La Esponja Grande
Tried every Tarot Card combination
Tried every Locket Combination
Played the bongos repeatedly
Accepted into the Brotherhood
Used all the Bile Tubes in all directions
Tried every possible Face-Off feature
Introduced Murray to everyone
Got one one ten thousandth of the way through the alternate solution to the Cochlea puzzle
Convinced DeCava that Guybrush is married to Morgan