There are 36 trophies that can be collected.

 

Bronze

The vault
Complete the prologue, 'Beginning of the End'

Intimate moments
Approach Carmelita in the 'Police HQ' level

Undercover racoon
Use a Sly disguise in Venecia

The Guru unleashed
Meet the Guru in 'Unleash the Guru'

Scorpions cleaner
Free the scorpions load from the truck

A true friendship
Slow down Dr. M with Bentley and Murray

Romantic ballad
Complete the boat pursuit in Venecia canals

Halloween
Defeat masked Carmelita

A little crush
Ask Penelope for some help in 'Frame Team Iceland'

Last service
Complete the pub battle

Vampire exterminator
Stop the vampires

Reconciliation
Complete 'Dynamic Duo'

Night-owl
Buy the Alarm Clock

Decompression problem
Take the scuba diving equipment from Dimitri

Tightwad
Get 500 coins

Flying racoon
Buy the Paraglider

She's a crafty fox
Carmelita saves the day, again!

With Mitshoko's agreement
Activate the Shadow Power Level 2

Bently the plumber
Destroy the pumps

Numismatist
Get 1,000 coins at once

A true tornado
Buy the Sly Spin Attack Level 3

Jumpkick champion
Buy the Sly Jump Attack Level 3

 

Silver

Hard defeat
Defeat Octavio

Mayday, mayday
Defeat the Black Baron

A trump in the sleeve
Defeat Muggshot

Dragon's hit
Defeat the Chinese Dragon

Taking out the trash
Defeat LeFwee

Tentacular terror
Defeat Crusher

Getting promoted
Complete the game at 50%

Murrary's holy fire
Buy the Fists of Flame

 

Gold

And now?
Defeat Dr. M

Tough racoon
Complete the game at 75%

Here comes the loot!
Get 2,500 coins

A flying turtle
Buy the Hover Pack

100% Cooper
Complete the game at 100%

 

Platinum

A Real Honor
Unlock every trophy in the last adventure of Sly Cooper…The last?

 

http://www.ps3trophies.org/game/the-sly-collection-sly-3/trophies/

samiro05 said:

Do you reckon the platinum trophy description is a sneaky way of saying they're working on a new Sly Cooper game?

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seems like a hint I never got to play these first time round so looking forward to the 4 games.