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