Here is the full list of all 47 Marvel vs. Capcom: Infinite trophies - there are 34 bronze, 9 silver, 3 gold and 1 platinum.
Earn all trophies.
Fight against all characters in Online Mode.
Reach 10th Rank.
Fight 100 battles in Ranked Match.
Complete Arcade Mode with all characters.
Pick each character in Arcade Mode.
Fight in all of the stages.
Win 30 battles in Ranked Match.
Get a 5-game win streak in Ranked Match.
Perform 50 throws. (Arcade/online only)
Unlock 10 Fighter Card character colors.
Perform 50 advancing guards. (Arcade/online only)
Perform 50 first attacks. (Arcade/online only)
Perform 5 Lv3 hyper combo finishes. (Arcade/online only)
Perform 20 auto combos. (Arcade/online only)
Unlock 3 Fighter Card backgrounds.
Complete Story Mode chapter "Battling Ultron Omega."
Complete Story Mode chapter "Symbiote Attack."
Complete Story Mode chapter "Rescue Mission."
Fight 50 battles in Online Mode.
Use Infinity Storm 50 times. (Arcade/online only)
Perform 10 Lv1 hyper combo finishes. (Arcade/online only)
Reach 14th Rank.
Unlock 50 titles.
Win 10 battles in Ranked Match.
Perform 20 combos that include an Active Switch. (Arcade/online only)
Block 100 times. (Arcade/online only)
Fight 10 battles in Online Mode.
Fight 5 battles in Online Mode.
Get a 2-game win streak in Ranked Match.
Win without calling your partner or switching out in an online match.
Win without blocking in an online match.
Unlock 20 titles.
Perform a 60-hit combo. (Arcade/online only)
Fight a battle in Online Mode.
Win 1 battle in Ranked Match.
Use 50 hyper combo gauge bars. (Arcade/online only)
Use Infinity Surge 50 times. (Arcade/online only)
Achieve a perfect victory. (Arcade/online only)
Complete Arcade Mode.
Play 50 matches in any offline mode.
Perform a 30-hit combo. (Arcade/online only)
Complete 100 missions in Mission Mode.
Complete all missions for 5 different characters.
Complete 40 missions in Mission Mode.
Play 5 matches in any offline mode.
Complete 20 missions in Mission Mode.