I am playing on the PSP (the PS2 version is waiting until this weekend for my wife and I to play together), so I am not sure that there are trophies to be had.
Nah, there's no Trophies in the PSP version. PS3/360 versions have Trophies/Achievements that are posted to your profile as you complete certain tasks in game. Here's the list, if you're interested:
There are 46 Trophies that can be earned in this title.
The New Generation ( Bronze Trophy)
Defeat a Legend with a Superstar.
Showing Them How It's Done ( Bronze Trophy)
Defeat a Superstar with a Legend.
Facing the Deadman ( Bronze Trophy)
Complete the Legends Path of Champions with any Superstar.
The Apex Predator ( Bronze Trophy)
Complete the Superstars Path of Champions with any Superstar.
Breaking the Rules ( Bronze Trophy)
Complete the Tag Team Path of Champions with any Superstars.
Rising Star ( Bronze Trophy)
Complete any Path of Champions with a created Superstar.
The Next WWE Superstar ( Bronze Trophy)
Make a created Superstar.
Reversal of Fortune ( Bronze Trophy)
Perform at least 5 grapple reversals during a match.
Chain Gang ( Bronze Trophy)
Perform a combo at least 5 moves in length.
Dominating ( Bronze Trophy)
Win a match against the CPU without losing any health.
Layeth the Smacketh Down! ( Bronze Trophy)
Win a match in under 2 minutes.
Five Moves of Doom ( Bronze Trophy)
Execute signature moves in a single match.
Born to Fly ( Bronze Trophy)
Perform 10 successful regular aerial moves in a single match.
Punch Drunk ( Bronze Trophy)
Land at least 100 strikes in a single match in any mode.
Five Star Rating ( Bronze Trophy)
Achieve a five star rating in any category while facing the CPU.
Mark of Excellence ( Bronze Trophy)
Earn a gold medal in any match type while facing the CPU.
Make Them Humble ( Bronze Trophy)
Win 25 matches by knockout.
Man of 1000 Holds ( Bronze Trophy)
Win a match without using any strikes.
Over the Top ( Bronze Trophy)
Win a Steel Cage match.
In the Spotlight ( Bronze Trophy)
Win an online match.
Last Man Standing ( Bronze Trophy)
Win a Fatal 4 Way Elimination match.
He's Got a Chair! ( Bronze Trophy)
Land at least 10 successful strikes with an object in a single match.
Beating the Odds ( Bronze Trophy)
Win a Handicap match.
Totally Extreme! ( Bronze Trophy)
Win an Extreme Rules match.
Enhancement Talent ( Bronze Trophy)
Win 10 online matches.
Mid Carder ( Bronze Trophy)
Win 25 online matches.
The New Face of Cyberspace ( Bronze Trophy)
Defeat a created Superstar in an online match with your own created Superstar.
Suck It ( Bronze Trophy)
Win a Tornado Tag Team match as Triple H and Shawn Michaels.
Mega Powers ( Bronze Trophy)
Win a Tornado Tag Team match as Hulk Hogan and Randy Savage.
Comeback of the Year ( Bronze Trophy)
Win a match when your Superstar is at zero health.
Old School ( Silver Trophy)
Complete all Fantasy Warfare matches as a WWE Legend.
Legend Killer ( Silver Trophy)
Complete all Fantasy Warfare matches as a WWE Superstar.
Running Wild ( Silver Trophy)
Perform 50 successful finishers in any mode over the course of the game.
Slobberknocker ( Silver Trophy)
Win a match without using any grapples.
The Champ is Here! ( Silver Trophy)
Complete all three Path of Champions as John Cena.
The King of Kings ( Silver Trophy)
Defeat the entire WWE All Stars roster as Triple H.
The Bottom Line ( Silver Trophy)
Defeat the entire WWE All Stars roster with a single created Superstar.
The Ultimate Achievement ( Gold Trophy)
Defeat the entire Roster and all three Path of Champions as The Ultimate Warrior.
Main Eventer ( Gold Trophy)
Win 50 online matches.
You Can't See Me! ( Gold Trophy)
Win 10 consecutive online matches.
All trophies awarded ( Platinum Trophy)
Obtain all trophies.
Secret Trophies
I'm Your Papi! ( Bronze Trophy)
Defeat Rey Mysterio in a Steel Cage match as Eddie Guerrero.
The Pride of Scotland ( Bronze Trophy)
Win a Tornado Tag Team match as Roddy Piper and Drew McIntyre.
Booyaka Booyaka ( Bronze Trophy)
Defeat Andre the Giant and Big Show in a Handicap Match as Rey Mysterio.
Winner by Default ( Bronze Trophy)
Win an online match due to opponent's disqualification.
Attitude Problem ( Bronze Trophy)
Get disqualified in three consecutive matches in any mode.