There are 51 trophies that can be collected.

Bronze

Settling the Score
Select a Friend Autolog Recommendation and beat it

Graffiti
Create a ‘New Post’ or ‘Write a Reply’ on the Wall

Share the Dream
Share a Dreamshot to the Wall

Socialite
Have 5 or more NFS Friends

Gotcha!
Bust a Racer

Officer
Reach rank (3) Officer as a Cop

Patrolman
Reach rank (5) Patrolman as a Cop

Trooper
Reach rank (8) Trooper as a Cop

Sergeant
Reach rank (11) Sergeant as a Cop

Lieutenant
Reach rank (14) Lieutenant as a Cop

Undercover
Reach rank (17) Undercover as a Cop

Captain
Reach rank (18) Captain as a Cop

Pursuit Agent
Reach rank (19) Pursuit Agent as a Cop

Chase
Play 10 Online Hot Pursuits as a Cop

Bounty Hunter
Play 10 Online Interceptors as a Cop

Vengeance is Mine
Wreck a Cop

Suspect
Reach wanted level (2) Suspect as a Racer

Target
Reach wanted level (4) Target as a Racer

Felon
Reach wanted level (6) Felon as a Racer

Offender
Reach wanted level (8) Offender as a Racer

Outlaw
Reach wanted level (11) Outlaw as a Racer

Wanted
Reach wanted level (14) Wanted as a Racer

Fugitive
Reach wanted level (17) Fugitive as a Racer

Notorious
Reach wanted level (19) Notorious as a Racer

Festival of Speed
Play 10 Online Races

Race
Play 10 Online Hot Pursuits as a Racer

Escapologist
Play 10 Online Interceptors as a Racer

Burnout
Fill the Nitrous bar then use it all in one go without hitting anything

Wall of Steel
Deploy a Road Block which then gets hit by a Racer

Shock to the System
Get a hit with an EMP

Hit Confirmed
Get a hit with a Spike Strip

Aerial Assistance
Call in a helicopter which then hits a Racer with a Spike Strip

Denied
First Jammer use that affects a Cop

In the Zone
Use a full Turbo without hitting anything

Eye of the Needle
As a Racer, drive through an undamaged Road Block without hitting it

Share the Joy
Dreamshot a BMW and share it with your Friends

Shaken, Not Stirred
Win any Hot Pursuit in an Aston Martin

Wet in the Vette
Drive any Corvette in the wet

Silver

Ultimate Enforcer
Reach rank (20) Ultimate Enforcer as a Cop

Most Wanted
Reach wanted level (20) Most Wanted as a Racer

Power Spike
Spike strip a car that is targeting you with an EMP

Imprezive
Accumulate 2,000 yds of drift in a single event using the Subaru Impreza WRX STI

Flight of the Bumblebee
Win the ‘Muscle Reflex’ race in a Bee Yellow Chevrolet Camaro SS

Godzilla
Get any medal in ‘Run to the Hills’ driving the Nissan GT-R SpecV without using any
weapons

Iron Man
Get Distinction in a Hot Pursuit, Interceptor and Rapid Response using the Audi R8

Electrically Charged
Bust the 918 Spyder using an EMP in ‘Porsche Patrol’

Snakebite in Black
Spike a cop while driving a Black Dodge Viper SRT10 ACR or Ford Shelby GT500 Supersnake

Midnight Cowboy
Dreamshot a Midnight Blue Metallic Ford GT at night in the desert

Gold

True Blue
Earn a Distinction in every single-player Cop mission

Golddigger
Earn a Gold Medal in every single-player Racer event

Platinum

NFS Hot Pursuit Elite
Awarded for successfully collecting all Need For Speed™ Hot Pursuit trophies

http://www.ps3trophies.com/forums/trophy-news/45006-need-speed-hot-pursuit-trophy-list.html