Here is the full list of all 41 Jak II trophies - there are 26 bronze, 10 silver, 4 gold and 1 platinum.
For excellent and dedicated field work in the field of battle for completion
Collect 286 Precursor Orbs
Collect 125 Precursor Orbs
Collect 510 Metal Head Skull Gems
Collect 250 Metal Head Skull Gems
Collect 25 Precursor Orbs
Destroy Metal Kor at Nest
Attack the Metal Head Nest
Collect 50 Metal Head Skull Gems
Find Sig in Underport
Beat Krew in Weapons Lab
Get Heart of Mar in Weapons Lab
Win Class 1 Race in Stadium
Destroy Drill Platform Tower
Escort Men Through Sewers
Protect Hideout from Bomb Bots
Win Class 2 Race at Stadium
Rescue Friends at Fortress
Defeat Baron in Mar's Tomb
Pass the Tests of Manhood
Win Class 3 Race at Stadium
Use Items in No Man's Canyon
Destroy 5 Hellcat Cruisers
Get Seal Piece at Dig
Destroy Ship at Drill Platform
Blow up Strip Mine in Eco Wells
Catch Scouts in Haven Forest
Destroy Equipment at Dig
Collect Money for Krew
Turn on 5 Power Switches
Ride Elevator up to Palace
Defeat Baron at Palace
Destroy Eggs at Drill Platform
Find 3 Artifacts in Mountain Temple
Find Pumping Station Patrol
Rescue Vin at Strip Mine
Destroy Turrets in Sewers
Protect Sig at Pumping Station
Retrieve Banner from Dead Town
Blow up Ammo at Fortress
Protect Kor and Kid