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