Here is the full list of achievements for Need for Speed: Hot Pursuit (2010 version) for the Xbox 360.
Aerial Assistance (5 points) – Call in a Helicopter which then hits a Racer with a Spike Strip
Bounty Hunter (5 points) – Play 10 Online Interceptors as a Cop
Burnout (25 points) – Fill the Nitrous bar then use it all in one go without hitting anything
Captain (10 points) – Reach rank (18) Captain as a Cop
Chase (5 points) – Play 10 Online Hot Pursuits as a Cop
Denied (5 points) – First Jammer use that affects a Cop
Electrically Charged (25 points) – Bust the 918 Spyder using an EMP in ‘Porsche Patrol’
Escapologist (25 points) – Play 10 Online Interceptors as a Racer
Eye of the Needle (25 points) – As a Racer, drive through an undamaged Road Block without hitting it
Felon (5 points) – Reach wanted level (6) Felon as a Racer
Festival of Speed (25 points) – Play 10 Online Races
Flight of the Bumblebee (25 points) – Win the ‘Muscle Reflex’ race in a Bee Yellow Chevrolet Camaro SS
Fugitive (10 points) – Reach wanted level (17) Fugitive as a Racer
Godzilla (25 points) – Get any medal in ‘Run to the Hills’ driving the Nissan GT-R SpecV without using any weapons
Golddigger (100 points) – Earn a Gold Medal in every single-player Racer event
Gotcha! (5 points) – Bust a Racer
Graffiti (10 points) – Create a ‘New Post’ or ‘Write a Reply’ on the Wall
Hit Confirmed (10 points) – Get a hit with a Spike Strip
Imprezive (25 points) – Accumulate 2,000 yds of drift in a single event using the Subaru Impreza WRX STI
In the Zone (25 points) – Use a full Turbo without hitting anything
Iron Man (25 points) – Get Distinction in a Hot Pursuit, Interceptor and Rapid Response using the Audi R8
Lieutenant (10 points) – Reach rank (14) Lieutenant as a Cop
Midnight Cowboy (25 points) – Dreamshot a Midnight Blue Metallic Ford GT at night in the desert
Most Wanted (50 points) – Reach wanted level (20) Most Wanted as a Racer
Notorious (25 points) – Reach wanted level (19) Notorious as a Racer
Offender (10 points) – Reach wanted level (8) Offender as a Racer
Officer (5 points) – Reach rank (3) Officer as a Cop
Outlaw (10 points) – Reach wanted level (11) Outlaw as a Racer
Patrolman (5 points) – Reach rank (5) Patrolman as a Cop
Power Spike (25 points) – Spike strip a car that is targeting you with an EMP
Pursuit Agent (25 points) – Reach rank (19) Pursuit Agent as a Cop
Race (25 points) – Play 10 Online Hot Pursuits as a Racer
Sergeant (10 points) – Reach rank (11) Sergeant as a Cop
Settling the Score (25 points) – Select a Friend Autolog Recommendation and beat it
Shaken, Not Stirred (25 points) – Win any Hot Pursuit in an Aston Martin
Share the Dream (10 points) – Share a Dreamshot to the Wall
Share the Joy (25 points) – Dreamshot a BMW and share it with your Friends
Shock to the System (10 points) – Get a hit with an EMP
Snakebite in Black (25 points) – Spike a cop while driving a Black Dodge Viper SRT10 ACR or Ford Shelby GT500 Supersnake
Socialite (10 points) – Have 5 or more NFS Friends
Suspect (5 points) – Reach wanted level (2) Suspect as a Racer
Target (5 points) – Reach wanted level (4) Target as a Racer
Trooper (10 points) – Reach rank (8) Trooper as a Cop
True Blue (100 points) – Earn a Distinction in every single-player Cop mission
Ultimate Enforcer (50 points) – Reach rank (20) Ultimate Enforcer as a Cop
Undercover (10 points) – Reach rank (17) Undercover as a Cop
Vengeance is Mine (5 points) – Wreck a Cop
Wall of Steel (5 points) – Deploy a Road Block which then gets hit by a Racer
Wanted (10 points) – Reach wanted level (14) Wanted as a Racer
Wet in the Vette (25 points) – Drive any Corvette in the wet
