Here is the full list of all 41 Pro Evolution Soccer 2016 (JP) trophies - there are 24 bronze, 13 silver, 3 gold and 1 platinum.
Perfect Collection
Awarded for defeating the COM for the first time in [Exhibition].
Awarded for defeating the COM for the first time in the [UEFA Champions League].
Awarded for defeating the COM for the first time in the [UEFA Europa League].
Awarded for defeating the COM for the first time in the [Copa Libertadores].
Awarded for defeating the COM for the first time in the [Copa Sudamericana].
Awarded for defeating the COM for the first time in the [AFC Champions League].
Awarded for making a professional debut in [Become a Legend].
Awarded for winning the League Title in [Become a Legend].
Awarded for being picked for the Team of the Season in [Become a Legend].
Awarded for winning the UEFA Best Player in Europe Award in [Become a Legend].
Awarded for being named South American Player of the Year in [Become a Legend].
Awarded for being named Footballer of the Year in Asia in [Become a Legend].
Awarded for being named World Player of the Year in [Become a Legend].
Awarded for your first win in [Master League].
Awarded for being promoted to a Top League in [Master League].
Awarded for moving teams in [Master League].
Awarded for winning the League Title in any of the Top Leagues featured in [Master League].
Awarded for becoming a UEFA Champions League Winner in [Master League].
Awarded for becoming a Copa Libertadores Winner in [Master League].
Awarded for becoming a AFC Champions League Winner in [Master League].
Awarded for winning the League, UEFA Champions League, and League Cup in a [Master League] season.
Awarded for winning the League, Copa Libertadores, and League Cup in a [Master League] season.
Awarded for winning the League, AFC Champions League, and League Cup in a [Master League] season.
Awarded for being named the No. 1 Club in the [Master League] Club Rankings.
Awarded for becoming a national team manager in [Master League].
Awarded for an International Cup Winner in [Master League].
Awarded for obtaining Silver in all [Basic] level Skills Training.
Awarded for obtaining Silver in all [Intermediate] level Skills Training.
Awarded for obtaining Silver in all [Advanced] level Skills Training.
Awarded for obtaining Silver in all [Expert] level Skills Training.
Awarded for completing your debut match in [Online].
Awarded for winning your first [ONLINE DIVISIONS] match.
Awarded for being promoted to a higher division in [ONLINE DIVISIONS].
Awarded for your first win in an [Online Competition].
Awarded for being named Man of the Match in a Team Play Lobby match.
Awarded for winning your first [Divisions] match in myClub.
Awarded for being promoted in myClub [Divisions].
Awarded for winning your first [Divisions (SIM)] match in myClub.
Awarded for being promoted in myClub [Divisions] (SIM).
Awarded for winning 6 VS COM matches in a row at Super Star level in myClub.