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