Here is the full list of all 47 Jak 3 trophies - there are 34 bronze, 9 silver, 3 gold and 1 platinum.
Collect 50 Precursor Orbs
Destroy Final Boss
Destroy Dark Ship
Break through Ruins
Reach Catacombs via Palace Ruins
Destroy Dark Ship Shield
Destroy Metal Head Tower
Defend Spargus from Attack
Activate Astro-Viewer in Forest
Rescue Seem at Temple
Beat Cyber-Errol Boss
Find Switch in Sewers
Destroy War Factory Defenses
Break Barrier with Blast Bot
Defend HQ from Attack
Defend Port from Attack
Hijack Eco Vehicle
Take Out Marauder Stronghold
Defend Spargus' Front Gate
Destroy Metal-pedes in Nest
Race for More Artifacts
Collect 125 Metal Head Skull Gems
Kill Dark Plants in Forest
Destroy Dark Eco Tanks
Reach Metal Head Area via Sewer
Destroy Sniper Cannons
Destroy Incoming Blast Bots
Reach Port via Sewer
Defeat Veger's Precursor Robot
Escort Bomb Train
Explore Eco Mine
Travel through Catacomb Subrails
Defend Ashelin at Oasis
Collect 25 Metal Head Skull Gems
Hang Glide to Volcano
Destroy Eggs in Nest
Defeat Marauders in Arena
Rescue Wastelanders
Corral Wild Leapers
Destroy Metal Head Beasts
Race for Artifacts
Beat Kleiver in Desert Race
Catch Kanga-Rats
For Stamina and Time On Your Hands and insatiable need for completion
Collect 250 Metal Head Skull Gems
Collect 300 Precursor Orbs
Collect 600 Precursor Orbs