Here is the full list of all 47 Marvel vs. Capcom 3: Fate of Two Worlds trophies - there are 33 bronze, 11 silver, 2 gold and 1 platinum.
Obtain all Trophies.
Clear 320 missions in Mission mode.
In Ranked Match, surpass the "1st" class rank, or fight someone who has.
Unlock all items in the Gallery.
View all endings in Arcade mode.
Earn 100,000 Player Points (PP).
Use 1,000 Hyper Combo Gauge bars. (Arcade/online only)
Clear 160 missions in Mission mode.
Clear 80 missions in Mission mode.
Perform 30 Crossover Combination Finishes. (Arcade/online only)
Land an Uncanny Combo. (Arcade/online only)
Perform 30 Hyper Combo Finishes. (Arcade/online only)
Battle against all characters online.
Make a match between a national hero and a killing machine a reality in an online match.
Decide who is the true master of the fist in an online match.
Settle things between former S.T.A.R.S. members in an online match.
Earn 30,000 Player Points (PP).
Make a team of three who have altered their bodies, and win a match. (Arcade/online only)
Make a team composed of women who can fly, and win a match. (Arcade/online only)
Land 50 First Attacks in a match. (Arcade/online only)
Bring about an end to the Civil War in an online match.
Surpass the rank of Fighter.
Put an end to this game of spider and fly in an online match.
Get a 5 game win streak in Ranked Match.
Make a team composed of those who dwell in the darkness, and win a match. (Arcade/online only)
Make a match between the marquee characters for this game a reality in an online match.
Participate in any mode online.
Surpass the rank of Amateur.
Beat Arcade mode without using any continues.
Win a match without calling your partners or switching out. (Arcade/online only)
Earn 5,000 Player Points (PP).
Win a match without blocking. (Arcade/online only)
Land an Incredible Combo. (Arcade/online only)
Fight in all of the stages.
Participate in an 8 player Lobby online.
Make a team composed of the Big 3 and win a match. (Arcade/online only)
Beat Arcade mode on the hardest difficulty.
View one ending in Arcade mode.
Land a Team Aerial Counter in a match. (Arcade/online only)
Perform 10 Snap Backs. (Arcade/online only)
Perform 10 Team Aerial Combos. (Arcade/online only)
Perform 10 successful Crossover Counters. (Arcade/online only)
Perform 30 successful Advancing Guards. (Arcade/online only)
Make a team composed of Weapon-X test subjects, and win a match. (Arcade/online only)
Block 100 times. (Arcade/online only)
Land a Viewtiful Combo. (Arcade/online only)
Use X-Factor in a match. (Arcade/online only)