There are 48 Trophies that can be collected.

BRONZE

Savior
While playing as a goalie in an EA SPORTS Hockey League match, make a desperation save in OT

EASHL Playoffs
Be a member of an EA SPORTS Hockey League Team when they participate in a monthly playoff

EASHL Rookie
Achieve Rookie 1 status for your Online Pro

Lead By Example
As captain or assistant captain, be named one of the 3 stars during an EASHL match

Come At Me Bro
Change your team's bias to Neutral Zone

Put It On Net
Score while skating full speed

Opportunist
Score on a sprawling goalie

That's Embarrassing
Score a goal on a goalie who is performing a desperation save in Online Ranked Shootout

Locked and Loaded
Score on a slapshot in Online Ranked Shootout

Promising Start
Get drafted 1st Overall to an NHL team in Be A Pro with a Created Pro

Memorial Cup
Play and win the Memorial Cup in Be A Pro with a Created Pro

Best of the Best
Win the Art Ross Trophy in Be A Pro with a Created Pro

Play Through the Pain
Score a goal while injured in Be A Pro with a Created Pro

Playoff Hero
During the NHL Playoffs, score a goal in OT in Be A Pro with a Created Pro

Are You Kidding Me?
Hit the post 3 times in 1 game in Be A Pro with a Created Pro

Red Light Specialist
Win the Maurice "Rocket" Richard Trophy in Be A Pro with a Created Pro

MVP
Win the Hart Memorial Trophy in Be A Pro with a Created Pro

Puck Puck Goose Egg
Win the Vezina Trophy in Be A Pro with a Created Pro

Firewall
Win the James Norris Memorial Trophy in Be A Pro with a Created Pro

Kid's Got Talent
Win the Calder Memorial Trophy in Be A Pro with a Created Pro

Two-Way Threat
Win the Frank J. Selke Trophy in Be A Pro with a Created Pro

Another Direction
Get traded to another team in Be A Pro with a Created Pro

Real Competition
Play in a GM Connected league of 5 Human GMs

Tactical Advantage
Win a GM Connected league game using your Build Your AI file

Call In The Ringers
Win a GM Connected league game with an OTP partner

Changing Skins
Change the team of a player by using the Change Team item in Hockey Ultimate Team

Mad Scientist
Use the line assistant feature to setup your lines in Hockey Ultimate Team

Chosen One
Assign a captain to your Hockey Ultimate Team using the Assign Captain item

Winter Classic
Complete a Winter Classic Match playing with the New York Rangers versus the Philadelphia Flyers

HONDA – Your Moment Is Now
Win a Be A Pro NHL Moments Live moment

HONDA – Time To Shine
Win a team based NHL Moments Live moment

HONDA – 82 Game Grind
Win a regular season NHL Moments Live moment

HONDA – Second Season
Win a playoff NHL Moments Live moment

HONDA – Superstar For A Moment
Win a NHL Moments Live moment on Superstar difficulty

SILVER

Fear No Man
Complete 30 EA SPORTS Hockey League regular matches without receiving a DNF or backout penalty

EASHL Pro
Achieve Pro 1 status for your Online Pro

Coast To Coast
Starting from behind your net, skate up the ice and score without passing

Desperate Measures
Score a goal with your goalie pulled

Raise the Cup
Play and win the Stanley Cup in Be A Pro with a Created Pro

Legend Player
Play and win any NHL player trophy in Be A Pro with a Created Pro

Legend GM
Achieve Legendary GM Status in Be A GM

You Are The Champion My Friend
Participate in and Win the Stanley Cup in GM Connected

Pro Contender
Win a Hockey Ultimate Team tournament

HUT Playoff Winner
Win any Hockey Ultimate Team monthly playoff tournament

Complete Set
Collect all player, jersey and logo items for any team in the Collection in Hockey Ultimate Team

GOLD

EASHL Legend
Achieve Legend 1 status for your Online Pro

Legendary
Retire as a Legend in Be A Pro with a Created Pro

PLATINUM

Raise Your Banner '13
Acquire all of the Bronze, Silver, and Gold trophies

http://www.ps3trophies.com/forums/playstation-trophy-news/22194-nhl-13-trophy-list.html