There are 40 Trophies that can be collected.

Bronze

Puppeteer    
Create a CAF and modify the face with CREATE A FIGHTER.     

Breaking your Toys    
Win a match against the COM on Experienced Difficulty while using a CAF in Exhibition Mode.     

Online Amateur    
Play 10 or more Online matches.

Willingness    
Select a guided tutorial     

Extracurricular    
Join an Online camp.

Storied Career    
Complete Career Mode with a CAF or Roster Fighter.     

Chopping 'em Down    
Get the TKO win by damaging the opponent's legs.

PRIDE of a champion    
Win 25 fights consecutively in Title Defence Mode.

First of Many!    
Win a ranked Online match for the first time.     

Everyone's a Critic    
Rate contents created by other players in Content Sharing.     

Bragging Rights    
Create a Highlight Reel.     

Artiste    
Create a Logo and apply it to a CAF as a Tattoo.

Practice Makes Perfect    
Play an Online Fight Camp Sparring match.

Brute Force    
Submission Slam or Stomp Escape the COM in Exhibition on Advanced Difficulty or Higher     

Punching is Hard Work    
Win a match on Ultimate in Exhibition or Tournament Mode with the Simulation Energy Settings.     

Making it Rain    
10,000 or more shop points accumulated.     

Prepared to Win!    
Play through each Training Game with a fighter in Career Mode.

Prime Time Fighting    
Play and complete a 6, 7 or 8 card event in Event Mode.

Exhibition Excellence    
Win 5 ranked Online matches in a row.

Silver

Online Journeyman    
Play 500 or more ranked Online matches.

Hall of famer    
Enter the Hall of Fame with a fighter in Career Mode.

GOOOAAL!!!    
KO the opponent with a soccer kick.     

Breaking your Best Toys    
Win against a CAF that obtained Career Hall of Fame in Exhibition on Expert Difficulty or higher.

Determined Champion    
Clear Title Mode without any interruption.     

History is Best Both Ways    
Obtain a 100% completion score with both fighters in a fight in Ultimate Fights Mode.     

Dual Division Champion    
Use 1 fighter in Career Mode to win the UFC championship in 2 weight divisions.

Triple Threatening    
Obtain any level 3 move for 1 fighter in Career Mode.     

Pound for Pound    
Win in each division in Exhibition with Advanced Difficulty or higher.

Fight Camp Frenzy    
Win 10 consecutive Fight Camp Exhibition matches.

Training Expertise    
Obtain a 4-star score in a Training Game with a fighter in Career Mode.

Getting A Leg Up    
Defeat a COM on Advanced or higher in Exhibition or Tournament Mode with each Leg Submission.     

A Quarter Down, Three to Go    
Clear 25% or more of all game modes.

Even Rocky Had a Montage    
Create a Highlight Reel with 10 or more different fighters.

Gold

Finish the Fight    
After a KO or TKO, land 4 finishing blows and win the match.

Prolific Champion    
Use 1 fighter in Career Mode and win the WFA Championship, UFC Championship, and PRIDE Grand Prix.

Platinum

Platinum    
Obtain all trophies

4 Secret

http://www.ps3trophies.org/game/ufc-undisputed-3/trophies/