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 a Challenge Mode playthrough.
Score 10,000 points on My Blaster Runs Hot.
Collect all gold bolts.
Complete all space missions.
Visit the Insomniac Museum.
Vanquish Lord Vorselon.
Rescue all Zoni.
Collect all Constructo modifications.
Collect 1,000,000 bolts.
Complete the game on Casual.
Complete the game on Medium.
Complete the game on Hard.
Defeat General Azimuth and save the universe.
Defeat Dr. Nefarious.
Win the Raritanium Tournament.
Stop the Agorians from destroying Gimlick Valley.
Destroy Dr. Nefarious' armada.
Purchase all GrummelNet Weapons.
Win the Gold Tournament.
Reunite with Clank.
Unlock the Orvus Chamber.
Save General Azimuth from Lord Vorselon's clutches.
Confront Dr. Nefarious in the past.
Collect 250,000 bolts.
Win the Silver Tourament.
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.