Here is the full list of all 37 Ratchet & Clank Future: A Crack in Time trophies - there are 25 bronze, 6 silver, 5 gold and 1 platinum.
Collect all trophies in the game.
Complete the game on Hard.
Complete a Challenge Mode playthrough.
Collect all gold bolts.
Visit the Insomniac Museum.
Vanquish Lord Vorselon.
Purchase all GrummelNet Weapons.
Rescue all Zoni.
Collect all Constructo modifications.
Complete all space missions.
Collect 1,000,000 bolts.
Win the Raritanium Tournament.
Win the Gold Tournament.
Score 10,000 points on My Blaster Runs Hot.
Win the Silver Tourament.
Complete the game on Casual.
Complete the game on Medium.
Defeat General Azimuth and save the universe.
Defeat Dr. Nefarious.
Stop the Agorians from destroying Gimlick Valley.
Destroy Dr. Nefarious' armada.
Reunite with Clank.
Unlock the Orvus Chamber.
Collect 250,000 bolts.
Save General Azimuth from Lord Vorselon's clutches.
Confront Dr. Nefarious in the past.
Win the Bronze Tournament.
Find the Obsidian Eye.
Repair temporal damage caused by Dr. Nefarious.
Destroy the VX-99.
Upgrade one weapon to level 5.
Master the hoverboots.
Collect 50,000 bolts.
Defeat the Hypersonic Brainwave Scrambler
Collect 10,000 bolts.
Retrieve Chief Zahn's Zoni Vessel.
Complete Great Clock, Sector One.