There are 51 Trophies that can be collected.

Bronze

I'll Try!
Beat 1 Story episode.

What a Wonderful Power
Beat all episodes.

Don't Be Scared
Beat all episodes on HARD.

This is It for You!
Beat all episodes on VERY HARD.

I Wish You Luck
Complete 1 mission.

I'll Be Okay Now
Complete 10 missions.

Woohoo!
Complete all missions.

Aren't We Your Friends?
Complete 1 battle with all characters unlocked.

Amazing!
Complete 1 battle with all collections unlocked.

I'm Espada's Strongest!
Max out 1 character's levels.

I'll Take Care of It!
Save 30,000 Soul Points for 1 character.

Want an Allowance?
Obtain a total of 1,000,000 Soul Points.

I've Completely Analyzed You
Defeat every kind of enemy.

Don't Beg for Your Life
Complete 1 battle in Soul Attack Mode.

Silver

You are Simply Outclassed
Beat all episodes with Rank S.

Not Bad!
Complete all missions on VERY HARD.

Render All Things in the Universe to Ashes!
Complete all missions with Rank S.

I Was Waiting For This!
Max out 10 characters' levels.

You're Pretty Good
Obtain over 8,000 Soul Points in Soul Attack.

Hmph, Too Slow
Finish Time Attack in less than 1 minute 30 seconds.

Come at Me!
Defeat over 350 enemies in Beat Attack.

I am the King!
Complete all battles in Soul Attack Mode.

Gold

Is That It?
Complete all missions with all characters.

Now Do You Understand?
Max out all characters' levels.

Platinum

I Will Transcend All
Obtain all trophies.

26 Secret

Bronze

Devour, Glotoneria!
Defeat 33,650 Hollows.

Hueco Mundo is a Treasure Trove!
Hueco Mundo is a Treasure Trove!

Come On!
Defeat 10,000 Soul Reapers.

Stand Behind Me!
Destroy 10,000 environmental objects.

You Can't Read My Movements
Perform 100 Counters.

Raaaaagh!
Power up 300 times.

What…?!
See the Game Over screen 20 times.

More! More!
Obtain 1,000 items.

Amor!
Complete 1 battle after playing over 50 hours.

I Can Fire 1200
Perform a 1,000 Slash combo.

This is Art!
Perform a 2,000 Slash combo.

Then What is Justice?!
Complete 1 battle without destroying any objects.

You Think You Can Catch Me?
Complete 1 battle without taking damage.

Your Spiritual Power is Mine
Complete 1 battle without using Spirit Pressure attacks.

What a Pain in the Ass
Defeat 300 enemies in 1 battle.

The Shark Will Destroy You
Use your Ignition Attack 5 times in 1 battle.

Did You Read This Week's Jump?
Jump 100 times in 1 battle.

Snap Out of It, Baldy!
Air Recover 30 times in 1 battle.

I'll Kick Your Butt!
Complete 1 battle with a final body count of 69.

Que Suerte!
Complete 1 battle with identical Soul Point digits.

Cough! Cough!
Complete 1 battle while near death.

Mornin' Ichigo!
Defeat a boss using a dash charge.

Victory!
Defeat a boss using an Ignition Attack.

All of Heaven is Under My Command!
Stay airborne for 30 seconds.

You Got Weird Tastes
Watch the opening movie 3 times without skipping.

No Need to Thank Me
Watch the credits once without skipping.

http://www.ps3trophies.com/forums/ps3-trophy-news/66001-bleach-soul-resurreccion-trophy-list.html