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