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
Destroy Metal Kor at Nest
Collect 510 Metal Head Skull Gems
Collect 250 Metal Head Skull Gems
Collect 50 Metal Head Skull Gems
Collect 286 Precursor Orbs
Collect 125 Precursor Orbs
Collect 25 Precursor Orbs
Attack the Metal Head Nest
Get Heart of Mar in Weapons Lab
Beat Krew in Weapons Lab
Find Sig in Underport
Protect Hideout from Bomb Bots
Destroy Drill Platform Tower
Win Class 1 Race in Stadium
Win Class 2 Race at Stadium
Escort Men Through Sewers
Rescue Friends at Fortress
Pass the Tests of Manhood
Defeat Baron in Mar's Tomb
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
Destroy Equipment at Dig
Collect Money for Krew
Catch Scouts in Haven Forest
Ride Elevator up to Palace
Defeat Baron at Palace
Turn on 5 Power Switches
Destroy Eggs at Drill Platform
Find Pumping Station Patrol
Find 3 Artifacts in Mountain Temple
Rescue Vin at Strip Mine
Destroy Turrets in Sewers
Protect Sig at Pumping Station
Blow up Ammo at Fortress
Retrieve Banner from Dead Town
Protect Kor and Kid