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
Attack the Metal Head Nest
Find Sig in Underport
Beat Krew in Weapons Lab
Get Heart of Mar in Weapons Lab
Destroy Drill Platform Tower
Protect Hideout from Bomb Bots
Win Class 1 Race in Stadium
Rescue Friends at Fortress
Win Class 2 Race at Stadium
Defeat Baron in Mar's Tomb
Destroy 5 Hellcat Cruisers
Escort Men Through Sewers
Destroy Metal Kor at Nest
Get Seal Piece at Dig
Pass the Tests of Manhood
Destroy Ship at Drill Platform
Use Items in No Man's Canyon
Win Class 3 Race at Stadium
Blow up Strip Mine in Eco Wells
Destroy Eggs at Drill Platform using the touchscreen
Destroy Equipment at Dig
Collect 25 Precursor Orbs
Collect 250 Metal Head Skull Gems
Catch Scouts in Haven Forest
Defeat Baron at Palace
Ride Elevator up to Palace
Collect Money for Krew
Turn on 5 Power Switches
Find 3 Artifacts in Mountain Temple
Collect 50 Metal Head Skull Gems
Find Pumping Station Patrol
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