There are 29 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].

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

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

SILVER

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

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

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

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

Cup Winners
Awarded for single-handedly guiding a team to Cup glory in [Cup].

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

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].

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].

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

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

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

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

GOLD

Super Star
Awarded for winning the UEFA Best Player in Europe 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.

PLATINUM

Ultimate Player
Perfect Collection

http://www.ps3trophies.org/game/pro-evolution-soccer-2013/trophies/