Here is the full list of all 50 X-Men: Destiny trophies - there are 40 bronze, 6 silver, 3 gold and 1 platinum.
Collect all other trophies.
Defeat 20 Prime Enforcers.
Defeat 20 Purifier Stalker Mechs.
Defeat 2000 Purifiers.
Defeat 500 MRD Troops.
Complete all 15 unique challenge missions.
Stop Pyro from being mind-controlled.
Defeat 30 U-Men in the Secret Lab.
Destroy 25 pieces of propaganda.
Fully level up all powers.
Join Magneto and the Brotherhood.
Trigger X-Mode.
Help Forge's hacked Purifier Stalker Mech defeat the MRD Troops.
Help Pyro, Juggernaut and Quicksilver defeat the Purifiers.
Help Pyro set the roof on fire.
Collect 15 dossiers.
Equip a complete X-Gene set and suit.
Finish the game on New Mutant difficulty.
Finish the game on X-Man difficulty.
Finish the game on X-treme difficulty.
Interrupt the transmission.
Defeat 10 enemies with one Ultra power.
Stop Northstar from being mind-controlled.
Join Cyclops and the X-Men.
Defeat Magneto and Juggernaut.
Help Emma Frost turn Wolverine back to normal.
Complete 10 unique challenge missions.
Rescue Caliban.
Make third power destiny choice.
Defeat Cameron Hodge.
Fully level up a power.
Defeat more enemies than Wolverine in the Prime Enforcer factory.
Defeat Sublime.
Find the U-Men secret lab.
Make second power destiny choice.
Break 30 Combat Text Pop Ups.
Defeat Gambit.
Equip your first suit.
Complete your first Insane combo.
Complete your first Great combo.
Survive Magneto's attack on the Purifiers.
Make first power destiny choice.
Help Iceman, Cyclops and Emma Frost defeat the Purifiers.
Help Nightcrawler rescue mutants.
Help Emma Frost defend mutant civilians from Purifier attacks.
Collect your first dossier.
Complete your first challenge mission.
Equip your first X-Gene.
Destroy your first piece of propaganda.
Select a Power.