There are 12 Trophies that can be collected.

Bronze

Bon Voyage    
Win a World Tour match.    

Let's play    
Win an online match.    

Around the world in 20 matches    
Defeat every standard World Tour opponent.    

Shutout    
Defeat an "Advanced" or higher A.I. without being scored on (10 balls or more).    

Jack of all trades    
Use all types of trick shots in a single match.

From zero to hero    
Go from score 0:9 to win 10:9 in a 10 goal match against Advanced A.I. or higher.

Silver

One Man Team    
Score a goal using your goalkeeper.

Your Excellency    
Defeat every standard World Tour opponent with at least "Excellent" rating.    

Master Blaster    
Defeat all Master opponents in World Tour.

Owned!    
Defeat a Master opponent with "Perfect" rating in World Tour.

Gold

Mr Perfect    
Defeat every standard World Tour opponent with "Perfect" rating.

1 Secret

Bronze

Booby prize    
Score an own goal.

http://www.ps3trophies.org/game/foosball-2012/trophies/