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