Here is the full list of trophies you can unlock in Marvel vs. Capcom 3: Fate of Two Worlds for the PS3.
A Hero Stands Alone (Bronze) – Win a match without calling your partners or switching out (Arcade/online only)
A New Avenger (Silver) – Clear 320 missions in Mission mode
Avengers Assemble! (Bronze) – Make a team composed of the Big 3 and win a match (Arcade/online only)
Average Joe (Bronze) – Land a Viewtiful Combo (Arcade/online only)
Back at ‘Cha! (Bronze) – Perform 10 successful Crossover Counters (Arcade/online only)
Badds to the Bone (Bronze) – Make a team of three who have altered their bodies, and win a match (Arcade/online only)
Be Gone! (Bronze) – Perform 10 Snap Backs (Arcade/online only)
Big Bang Theory (Silver) – Perform 30 Hyper Combo Finishes (Arcade/online only)
Brave New World (Bronze) – Participate in any mode online
Brusin’ Bruce (Bronze) – Land an Incredible Combo (Arcade/online only)
Buy the Issues (Bronze) – View one ending in Arcade mode
Champion Edition Hero (Silver) – Earn 30,000 Player Points (PP)
Charles in Charge (Silver) – Land an Uncanny Combo (Arcade/online only)
Combat Specialist (Silver) – In Ranked Match, surpass the ‘1st’ class rank, or fight someone who has
Comic Collector (Gold) – Unlock all items in the Gallery
Copy This! (Bronze) – Put an end to this game of spider and fly in an online match
Darkstalkers (Bronze) – Make a team composed of those who dwell in the darkness, and win a match (Arcade/online only)
Duty and Deus Ex Machina (Bronze) – Make a match between a national hero and a killing machine a reality in an online match
Excelsior! (Bronze) – Perform 10 Team Aerial Combos (Arcade/online only)
Fate of the Satsui no Hadou (Bronze) – Decide who is the true master of the fist in an online match
Fate of Two Worlds (Bronze) – Make a match between the marquee characters for this game a reality in an online match
Female Flyers (Bronze) – Make a team composed of women who can fly, and win a match (Arcade/online only)
Full Roster (Silver) – Battle against all characters online
Galactic Smasher (Silver) – Perform 30 Crossover Combination Finishes (Arcade/online only)
Herculean Task (Silver) – Beat Arcade mode on the hardest difficulty
Leading the Charge (Silver) – Surpass the rank of Fighter
Master of Fate (Platinum) – Obtain all Trophies
Mega Buster (Bronze) – Use 1,000 Hyper Combo Gauge bars (Arcade/online only)
Need a Healing Partner (Bronze) – Win a match without blocking (Arcade/online only)
One Step Ahead (Silver) – Land 50 First Attacks in a match (Arcade/online only)
Passed the Field Test (Bronze) – Clear 160 missions in Mission Mode
Passport to Beatdown Country (Bronze) – Fight in all of the stages
Playtime Is Over (Bronze) – Surpass the rank of Amateur
Raccoon City Incident (Bronze) – Settle things between former S.T.A.R.S. members in an online match
Saving My Quarters (Bronze) – Beat Arcade mode without using any continues
School for the Gifted (Bronze) – Get a 5 game win streak in Ranked Match
Steel Battalion (Bronze) – Block 100 times (Arcade/online only)
Super Turbo Brawler (Silver) – Earn 100,000 Player Points (PP)
Turn the Tables (Bronze) – Land a Team Aerial Counter in a match (Arcade/online only)
Ultimate Nullifier (Bronze) – Perform 30 successful Advancing Guards (Arcade/online only)
Waiting for the Trade (Gold) – View all endins in Arcade mode
Weapon X (Bronze) – Make a team composed of Weapon-X test subjects, and win a match (Arcade/online only)
Welcome to Avengers Academy! (Bronze) – Clear 80 missions in Mission mode
Who Will Answer the Call? (Bronze) – Participate in an 8 player Lobby online
Whose Side Are You On? (Bronze) – Bring about an end to the Civil War in an online match
World Warrior (Bronze) – Earn 5,000 Player Points (PP)
Wreak ‘Havok’ (Bronze) – Use X-Factor in a match (Arcade/online only)