There are 37 Trophies that can be collected.

Bronze

First Glory: Exhibition    
Awarded for defeating the COM for the first time in [Exhibition].     

First Win: UEFA Champions League    
Awarded for defeating the COM for the first time in [UEFA Champions League].     

UEFA Champions League Elite 16    
Awarded for making it through the Group stage in [UEFA Champions League].

Copa Santander Libertadores Win    
Awarded for defeating the COM for the first time in [Copa Santander Libertadores].     

Copa Santander Libertadores R16    
Awarded for making it through the Group stage in [Copa Santander Libertadores].

The Debutant    
Awarded for making a professional debut in [Become a Legend].

Proud Skipper    
Awarded for being named Club Captain in [Become a Legend].     

Mr. Versatility    
Awarded for learning to play in another position in [Become a Legend].     

The Multi-Talented    
Awarded for acquiring a New Skill in [Become a Legend].     

First Glory: Master League    
Awarded for your first win in [Master League].     

Promoted    
Awarded for Winning Promotion to a Top League in [Master League].

European Elite 16    
Awarded for making it through the Group stage of the UEFA Champions League in [Master League].

First Glory: Club Boss    
Awarded for your first win as a Club Owner in [Club Boss].

Online Debutant    
Awarded for completing your debut match in [Online]. No disconnections permitted.     

First Glory: Quick Match    
Awarded for winning your first [Quick Match]. No disconnections permitted.     

First Glory: Competition    
Awarded for your first win in an [Online Competition].     

Theatre Connoisseur    
Awarded for watching a Highlight Reel uploaded by another user in the [Theatre of Legends].

Wheeler and Dealer    
Awarded for making your first ever signing in [Master League Online].     

The Highlight Show    
Awarded for watching Highlight Footage in [Final Highlights].

Silver

UEFA Champions League Winner    
Awarded for becoming a [UEFA Champions League] Winner.

Copa Santander Libertadores King    
Awarded for becoming a [Copa Santander Libertadores] Winner.     

International Champion    
Awarded for winning a National Team Competition in [League/Cup].     

League Champion    
Awarded for single-handedly winning a League Title in [League/Cup].

League Champions    
Awarded for winning the League Title in [Become a Legend].     

League Best Eleven    
Awarded for being picked for the Team of the Season in [Become a Legend].     

UEFA Champions League Debut    
Awarded for making your UEFA Champions League debut in [Become a Legend].

Pride of a Nation    
Awarded for playing in the International Cup in [Become a Legend].

Champion Manager    
Awarded for winning the League Title in any of the Top Leagues featured in [Master League].

Kings of Europe    
Awarded for becoming a UEFA Champions League Winner in [Master League].     

The Treble Winner    
Awarded for winning the League, UEFA Champions League and League Cup in a [Master League] season.

Champion Chairman    
Awarded for winning a Top Flight League Title in [Club Boss].

The Community Associate    
Awarded for joining your first [Online Community].

Gold

Super Star    
Awarded for winning the UEFA Club Footballer of the Year Award [Become a Legend].

World Footballer of the Year    
Awarded for being named World Footballer of the Year in [Become a Legend].

No.1 Club     
Awarded for being named the No.1 Club in the [Master League] Club Rankings.

No.1 Owner    
Awarded for being the Greatest Owner within the Beautiful Game in [Club Boss].

Platinum

Ultimate Player    
Perfect Collection

http://www.ps3trophies.org/game/pro-evolution-soccer-2012/trophies/