Here is the full list of all 39 Jak and Daxter: The Precursor Legacy trophies - there are 22 bronze, 12 silver, 4 gold and 1 platinum.
You have mastered the game and collected all there is to collect!
The Final Battle Against Gol and Maia
Collect 2000 Precursor Orbs
Collect 112 Scout Flies
Break all Four Tethers to the Zeppelin
Collect 1000 Precursor Orbs
Collect 49 Scout Flies
Collect 28 Scout Flies
Free the Green Sage
Free the Yellow Sage
Free the Red Sage
Free the Blue Sage
Reach the End of the Lava Tube
Survive the Lurker Infested Cave
Navigate the Blue Precursor Rings
Navigate the Purple Precursor Rings
Cure Dark Eco Infected Plants
Beat the Record Time on the Gorge
Catch the Flying Lurkers
Defeat the Lurker Ambush
Protect Farthy's Snacks
Reach the End of Fire Canyon
Destroy the Balloon Lurkers
Defeat Lurker Ambush in Arena
Collect 25 Power Cells
Push the Flut Flut Egg Off the Cliff
Get the Power Cell from the Pelican
Catch 200 Pounds of Fish
Defeat the Dark Eco Plant
Collect 101 Power Cells
Collect 100 Precursor Orbs
Destroy the Dark Eco Crystals
Stop the 3 Lurker Glacier Troops
Reach the End of the Mountain Pass
Defeat Klaww
Collect 50 Power Cells
Connect the Eco Beams
Herd the Yakows in to their Pen
Open the Precursor Door