Here is the full list of all 25 Buzz!: Brain of... trophies - there are 6 bronze, 11 silver, 7 gold and 1 platinum.
All Trophies unlocked
Win over 50 games of Sofa vs. Sofa
Win over 20 games of Sofa vs. Sofa
Play 50 MyBuzz!™ games
Play 20 MyBuzz!™ games
Play 50 singleplayer games
Play 20 singleplayer games
Play 50 multiplayer games
Play 40 Sofa vs. Sofa games
Play 20 multiplayer games
Play through a game on every channel
Play five multiplayer games
Correctly answer three questions in a row in under 0.5 seconds
Play five singleplayer games
Play using every contestant
Play 15 Sofa vs. Sofa games
Correctly answer all questions in a multiplayer round with all players
Win over five games of Sofa vs. Sofa
Play one MyBuzz!™ game
Score over 5000 points in a singleplayer game
Score over 3000 points in a singleplayer game
Score over 1500 points in a singleplayer game
Play one Sofa vs. Sofa game
Correctly answer ten questions in a row
Create 20 MyBuzz! quizzes