Here is the full list of all 39 LEGO Indiana Jones 2: The Adventure Continues trophies - there are 14 bronze, 22 silver, 2 gold and 1 platinum.
All trophies unlocked
Complete all Story Levels in Quick Play modes.
Complete the game to 100%
Complete a "Build Your Own Adventure".
Edit a Bonus level in the Builder.
Create a validated Builder level.
Complete the Builder Tutorial levels.
Create a customised character.
Complete Hangar 51 in under 5 minutes.
Use Scholar access 10 times.
Defeat 50 Russians with Mutt.
Destroy Indy 3 times with Mac.
Complete all Bonus Levels in Crusade Hub.
Unlock all of the enemies in the game.
Complete all plane races.
Unlock all of the vehicles in the game.
Find all the Artifacts in the game.
Complete all Treasure Mode Levels in Crusade Hub.
Unlock the Grail Knight.
Complete all Story Mode Levels in Crusade Hub.
Destroy 100 enemy vehicles.
Complete all Bonus Levels in Temple of Doom Hub.
Complete all Treasure Mode Levels in Temple of Doom Hub.
Complete all Story Mode Levels in Temple of Doom Hub.
Complete all Treasure Mode Levels in Raiders Hub.
Complete all Bonus Levels in Raiders Hub.
Complete all Story Mode Levels in Raiders Hub.
Complete all Bonus Levels in Skull 3 Hub.
Complete all Treasure Mode Levels in Skull 3 Hub.
Unlock the Interdimensional Being.
Destroy Indy with Spalko.
Complete all Bonus Levels in Skull 2 Hub.
Complete all Treasure Mode Levels in Skull 2 Hub.
Complete all Story Mode Levels in Skull 3 Hub.
Complete all Bonus Levels in Skull 1 Hub.
Complete all Treasure Mode Levels in Skull 1 Hub.
Fire a Bazooka 100 times.
Complete all Story Mode Levels in Skull 2 Hub.
Complete all Story Mode Levels in Skull 1 Hub.