Successfully complete one of the following tasks to get a trophy:

First Touch (Bronze): Finish one Daily Test. 
Combo (Bronze): Get 30 combos in any mode. 
60% Brain Usage (Bronze): Reach 60% Brain Usage. 
80% Brain Usage (Bronze): Reach 80% Brain Usage. 
Card Game (Bronze): Finish one online Card Game match. 
Time Attack (Bronze): Finish one online Time Attack match. 
Snatch Game (Bronze): Finish one online match in Snatch Game. 
100% Brain Usage (Silver): Reach 100% Brain Usage. 
The One of the Card Game (Silver): Reach level 100 in Card Game. 
The One of Time Attack (Silver): Reach level 100 in Time Attack. 
The One of Snatch Game (Silver): Reach level 100 in Snatch Game. 
King of Brain (Gold): Get A+ in all Brain Training games.