Here is the full list of all 49 LEGO Star Wars III: The Clone Wars trophies - there are 38 bronze, 8 silver, 2 gold and 1 platinum.
Collect all Trophies.
Win 3 consecutive Arcade Mode Battles.
On a flying level, land a space ship whilst controlling Lando Calrissian.
Complete the game to 100% (Single Player Only)
Collect all Gold bricks. (Single Player Only)
Convert every system to CIS. (Single Player Only)
Collect all the minikits. (Single Player Only)
True Jedi in every level. (Single Player Only)
Unlock/purchase all 'Clone' characters. (Single Player Only)
Complete a story level without dying (and no invincibility cheat).
Collect all Red Power Bricks. (Single Player Only)
Free all villains from the Resolute brig. (Single Player Only)
Convert every system to the Republic. (Single Player Only)
Complete all Bounty missions. (Single Player Only)
Unlock/purchase all 'Droid' characters. (Single Player Only)
Complete Zillo Beast.
Complete Grievous Intrigue.
Complete Liberty on Ryloth.
Complete Legacy of Terror.
Complete Castle of Doom.
Complete Hostage Crisis.
Have all your party members disguised as Senate Commandos in Hostage Crisis. (Story mode only)
Defeat Anakin with Count Dooku
Land on the Invisible Hand.
Overheat and destroy 50 gold LEGO bricks.
Complete Rookies.
Complete Innocents of Ryloth.
Hijack 20 enemy units in Ground Battles.
Using the Force, take control of a Super Battle Droid and destroy 50 other Droids.
Complete Weapons Factory.
Using the Radio ability, command troops 50 times.
Deploy 500 Clones.
Complete Lair of Grievous.
Complete Storm Over Ryloth.
Complete: 5 Loop the loops, 5 Back flips, 5 corkscrews.
Complete Defenders of Peace.
Complete Destroy Malevolence.
Use Yoda to defeat 5 enemies with one lightsaber throw.
Destroy 100 Droids with the Clone Chain-gun.
Complete Blue Shadow Virus.
Complete Jedi Crash.
Complete Shadow of Malevolence.
Complete Ambush.
Complete Gungan General.
Destroy an enemy building with a proton torpedo
Complete Duel of the Droids.
Complete The Hidden Enemy.
Complete Battle of Geonosis.
Complete Geonosian Arena.