Here is the full list of all 20 Scott Pilgrim vs the World: The Game - Complete Edition trophies - there are 12 silver, 7 gold and 1 platinum.
Clear the game in 90 minutes or less with Knives.
Play through a World and reach the boss without getting hit.
Eat every food item.
Clear the game once with Wallace Wells.
Defeat 1000 enemies.
Clear the game in single player on the “Supreme Master” difficulty setting.
Clear the game once with Scott.
Defeat the Twins simultaneously.
Defeat at least 200 enemies using interactive objects.
Buy all the items of a shop during the same visit.
In a multiplayer game, reanimate another player at least 25 times.
Defeat Matthew Patel without losing a life.
Defeat an enemy by throwing an object at him while he’s already down.
Earn all other trophies.
Unlock and call all strikers.
Catch a flying object at least 25 times with Knives.
Perform at least 10 consecutive head stomps successfully with Knives.
Complete your first online match.
Play Online with all characters at least once (including Wallace Wells).
Knockout 200 enemies in online mode.