There are 12 Trophies that can be collected.

BRONZE

All Rounder
Get 1 answer correctly in each of the 8 rounds throughout a single game

Hattrick
Answer 3 questions correctly in a row

Paparazzi
Answer 5 picture questions correctly in a single game

Perfect Throw In
Answer a throw-in question correctly with only one hint on the screen

Starter
Answer the first Kick Off question correctly before any other players

Tackle Devil
Tackle over 2500 points from one player in a single game

Untouchable
Win a foul play round without receiving any fouls

Victor
Win a game against at least 1 opponent

SILVER

Football Fan
Answer 200 questions correctly

Glory Boy
Keep possession of the ball for the entire Dribble Round

Striker
Answer 30 question correctly in a single game

GOLD

Football Genius
Answer 500 questions correctly

http://www.ps3trophies.org/game/football-genius/trophies/