Trophies - Successfully complete one of the following tasks to get a trophy:

Long Balls (Bronze): Hit 25 Home Runs with your User Profile.
Even More Long Balls (Bronze): Hit 50 Home Runs with your User Profile.
The Most Long Balls (Bronze): Hit 100 Home Runs with your User Profile.
Feel the Heat (Bronze): Strike out 25 batters with your User Profile.
That Guy's Not Throwing it Nice (Bronze): Strike out 50 batters with your User Profile.
There's a Hole in My Bat (Bronze): Strike out 100 batters with your User Profile.
Catch Me If You Can (Bronze): Steal 25 bases with your User Profile.
Slippery When Wet (Bronze): Steal 50 bases with your User Profile.
Good Things Always Happen in 3's (Bronze): Hit three Home Runs in a game.
It's a Good Day to be a Hitter (Bronze): Hit four Home Runs in a game.
Grab Some Pine (Bronze): Strike out 12 batters in one game.
Pining Away (Bronze): Strike out 15 batters in one game.
Unstoppable (Bronze): Score 10 Runs in a game.
Has Anyone Seen the Fat Lady? (Bronze): Score 15 Runs in a game.
Sticky Fingers (Bronze): Steal 4 bases in one game.
Cat Burglar (Bronze): Steal 6 bases in one game.
Flawless (Bronze): Win a game without allowing any runs scored .
It's Alive! (Bronze): Create a Player.
Man-Crush (Bronze): Hit a home run with Tim Lincecum.
Chicks Dig the Long Ball (Bronze): Win the Classic Home Run Derby.
I Could Have Been a Contender (Bronze): Play a Ranked Game Online.
Two Turn Tables... (Bronze): Create a 2K beats Playlist.
Absolute Power (Bronze): Hit 40 Home Runs in a season with one player (play at least 20 games).
May the Best Man... (Bronze): Win 20 Games in a season with one pitcher (play at least 20 games).
Centennial Man (Bronze): Drive in 100 runs in a season with one player (play at least 20 games).
Show Stopper (Bronze): Save 40 games in a season with one player (play at least 20 games).
Bicentennial Man (Bronze): Strike out 200 batters in a season with one player (play at least 20 games).
There Can be Only One (Bronze): Win the World Series in Franchise mode (play at least 20 games).
If You Build It... (Bronze): Create a Card Team.
Spring Training (Bronze): Try all 4 Practice Modes.
King of the Hill (Bronze): Get to the top of the Best of the Best ladder in Home Run Derby Mode.
Alone at the Top (Bronze): Win the World Series in Postseason Mode (Play Final Game).
Hurlers (Bronze): Unlock all the pitcher cards in the game.
Crushers (Bronze): Unlock all the batter cards in the game.
Teamwork (Bronze): Unlock all nine cards for one team.
Spread the Wealth (Bronze): Unlock one card on each of the 30 MLB teams.
A Man for All Seasons (Bronze): Unlock 10 Classic Player Cards.
One Hundo (Bronze): Unlock 100 cards.
Two Hundo (Bronze): Unlock 200 cards.
All the Tea... (Bronze): Unlock all 320 Cards.
Unhittable (Silver): Don't give up any hits in a game.
Team 2K (Gold): Beat a Team 2K member or someone that has unlocked this achievement in an online game.
Grand Poobah (Platinum): Unlock all Trophies.

Additionally, there are seven secret trophies:

Hard Knocks (Bronze): Hit three batters in a row.
Expect the Unexpected (Bronze): Drive in a run with a pitcher during a game.
Ya Can't Get Fooled Again (Bronze): Strike out a batter and throw out a runner on the same play.
That's All Folks (Bronze): Hit a home run to win a game.
This Old Man Came Rolling Home (Bronze): Steal Home.
Vicious Cycle (Bronze): Hit a home run, triple, double and single in one game with one player.
Untouchable (Bronze): Throw a No Hitter with one pitcher in a game.