Recommended team - A great young team for a franchise is as follows:

SP: Fransisco Liriano (L), Minnesota
SP: Matt Garza (R), Tampa Bay
SP: Cole Halmes (L), Philles
SP: Felix Hernandez (R), Seattle
SP: Zach Duke (L), Pittsburgh
CP: Brad Zigler (R), Oakland
C: Joe Mauer (L/R), Minnesota
1B: Miguel Cabera (R/R), Detroit
2B: Dustin Pedroia (R/R), Boston
3B: David Wright (R/R), NY Mets
SS: Jose Reyes (S/R), NY Mets
LF: Grady Sizemore (L/L), Clevland
CF: Jacoby Ellsburry (L/L), Boston
RF: Nick Markakis (L/L), Baltimore
DH: Evan Longoria (R/R), Tampa Bay

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

The Salami (Bronze): Hit a Grand Slam.
Walk off win (Bronze): Have a walkoff hit or walk to win a game.
RttS Power Plays (Bronze): Hit 2 HR in a single RttS game on All-Star or higher difficulty.
RttS In Control (Bronze): Strike out 10 batters in a single RttS game on All-Star or higher difficulty.
Make the Call (Bronze): Get called up to the MLB team.
RttS Streaker (Batter) (Bronze): Have a 10 game regular season hitting streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
RttS Streaker (Pitcher) (Bronze): Have a 5 game regular season win streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
Net works (Bronze): Win 5 online games.
It takes time (Hits) (Bronze): Get 1000 hits in any combination of modes.
It takes time (Strike Outs) (Bronze): Strike out 500 batters in any combination of modes.
It takes time (RBI) (Bronze): Get 1500 RBI in any combination of modes.
It takes time (HR) (Bronze): Hit 300 Homeruns in any combination of modes.
Managerial (Bronze): Win a Manager Mode game. Can be completed in Manager Mode, Season and Franchise.
Shut em' out (Bronze): Throw a Shut Out vs. the CPU on All-Star or higher difficulty.
Walk off in style (Silver): Have a walkoff HR to win a game.
Don't Hit Me (Silver): Throw a No Hitter vs. the CPU on All-Star or higher difficulty.
Streaker (Team) (Silver): Have a 10 game win streak in Season or Franchise mode vs. the CPU. Simulating or Fast Forwarding will restart the streak.
RttS Streaker (Batter) (Silver): Have a 20 game regular season hitting streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
RttS Streaker (Pitcher) (Silver): Have a 10 game regular season win streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
RttS Added Value (Silver): Win any Award in RttS. (MLB only).
Major Leaguer (Silver): Join and complete (must play 60% or more games) an online league.
RttS Streaker (Batter) (Gold): Have a 50 game regular season hitting streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
RttS Streaker (Pitcher) (Gold): Have a 15 game regular season win streak in Road to the Show. Simulating games in which your RttS player appears will restart the streak.
RttS MVP (Gold): Win the MVP award in RttS (MLB only).
RttS The Cycle (Gold): Hit for the Cycle with your RttS player.
Personal Perfection (Gold): Throw a perfect game on All-Star or higher difficulty using your RTTS player.
Online Legend (Gold): Win an online League (must play 60% or more games).
100% Clear (Platinum): This is the platinum trophy and is unlocked automatically when all the trophies have been unlocked.

Additionally, there are two secret trophies:

Stop Thief! (Bronze): Steal 3 bases in a single RttS game.
It happens to everyone (Bronze): Lose 100 games.