There are 48 Trophies that can be collected.

BRONZE

Fighting Entertainment
Have your first fight outside of Training or Versus modes.

Rivals
Register 5 fighters in your Fight List.

Rival Rumble
Fight online 10 times.

My Fight, My Rules
Create your own online lobby.

Get out there and Fight!
Play a Lobby match.

Fighting For Real
Play a Ranked match.

Jump In
Play a Simple match.

Gesundheit!
Trigger the Special Danger Zone in The Show.

Tango Kilo November
Trigger the Special Danger Zone in Hot Zone.

You Asked for It!
Fight 10 people through invitations.

First Throwdown
Send a Throwdown Challenge to someone in your Fighter List.

Akira Yuki
Unlock Akira.

Sarah Bryant
Unlock Sarah.

Arcade Cleared
Clear 1 course in Arcade mode.

Time Attack Cleared
Clear 1 course in Time Attack mode.

Survival Cleared
Clear 1 course in Survival mode.

Fledgling Fighter
Fight 10 Versus matches.

Training Hard
Play Training mode for 1 hour.

Exercise Newbie
Perform all moves for all characters in Command Training.

On the Edge of Your Seat
Play Spectator mode.

Fighter, Know Thyself
View your results in Fight Record.

Ahhh, Memories
View your photos in the Album.

Say Cheese!
Take a photo in Spectator mode.

How Do I Fight?
Display the Move List.

How Do I Fight Like a Pro?
Display the Move Details.

A Fight to Remember
Save a replay.

Safety First
Turn Danger Zones off on the Stage Select screen.

First Tag Team
Play Tag Battle.

Blow 'Em Away
Successfully land a Power Blow.

Down You Go
Successfully attack during a Cliffhanger.

Cliffhanger Comeback
Successfully block an opponent's attack during a Cliffhanger.

I Read Every Move
Win without taking any damage.

Failure Teaches Success
See all characters' losing poses.

Insomniac
Watch all movies in Story mode without skipping any of them.

SILVER

Rival Rampage
Fight online 100 times.

Anybody, Anytime, Anywhere
Fight 50 people through invitations.

Arcade Master
Clear all courses in Arcade mode.

Time Attack Master
Clear all courses in Time Attack mode.

Survival Master
Clear all courses in Survival mode.

The Fight Never Ends
Fight 100 Versus matches.

The Power of Two
Perform 50 kinds of character-specific tag throws.

GOLD

DOA5 Is My Life
Fight online 1000 times.

Fighting in Style
Unlock all costumes.

PLATINUM

DOA5 Master
Unlock all trophies.

4 SECRET

http://www.ps3trophies.org/game/dead-or-alive-5/trophies/