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