Here is the full list of all 66 Need for Speed Hot Pursuit Remastered achievements worth 1,000 gamerscore.
Bust a racer in the GUMPERT apollo s Interceptor at night, online or offline
Reach rank (20) Ultimate Enforcer as a Cop
Reach rank (19) Pursuit Agent as a Cop
Win an Online and an Offline Interceptor event in the Bugatti Veyron 16.4 Super Sport Interceptor
Play 10 Online Hot Pursuits as a Racer
Play 10 Online Hot Pursuits as a Cop
Reach rank (18) Captain as a Cop
Play 10 Online Races
Complete 5 online races in the GUMPERT apollo s
Play 5 games of Most Wanted as a Racer
Play 5 games of Most Wanted as a Cop
Play 10 Online Interceptors as a Racer
Play 10 Online Interceptors as a Cop
Reach rank (17) Undercover as a Cop
Win an online event in the Porsche 911 Turbo
Take down another racer in Arms Race
Reach wanted level (20) Most Wanted as a Racer
Reach wanted level (19) Notorious as a Racer
Wreck 5 cops in the GUMPERT Apollo-S
Get 5 spike strip hits with the Porsche 911 GT2 RS Interceptor
Earn a Distinction in every single-player Cop event
Get distinction in all the Super Sports Cop Events
Reach rank (14) Lieutenant as a Cop
Get Gold or Distinction in all Lamborghini Pack events
Get Gold or Distinction in all Porsche Pack events
Get Distinction in a Hot Pursuit, Interceptor and Rapid Response using the Audi R8
Do a 1000 yard (915 metres) drift in the Porsche 911 GT2 RS
Bust the 918 Spyder using an EMP in 'Porsche Patrol'
Get any medal in 'Run to the Hills' driving the Nissan GT-R SpecV without using any weapons
Reach rank (11) Sergeant as a Cop
Reach rank (8) Trooper as a Cop
Reach rank (5) Patrolman as a Cop
Call in a Helicopter which then hits a Racer with a Spike Strip
Reach rank (3) Officer as a Cop
Bust a Racer
Earn a Gold Medal in every single-player Racer event
Complete Seacrest Tour
Get gold in all the Super Sports Racer Events
Win the 'Muscle Reflex' race in a Bee Yellow Chevrolet Camaro SS
Reach wanted level (17) Fugitive as a Racer
Beat a friends recommendation in the Bugatti Veyron 16.4 Super Sport
Hold the Bugatti Veyron 16.4 Super Sport at top speed for 2 seconds
Deploy a Road Block which then gets hit by a Racer
Drive for a mile (1.6 kilometres) on shortcuts in a race and win it in the Porsche 959
Use a full bar of nitrous in one go in the Lamborghini Sesto Elemento
Drive the Porsche 911 Speedster for 20 miles (32.1 kilometres)
Spike a cop while driving a Black Dodge Viper SRT10 ACR or Ford Shelby GT500 Supersnake
Reach wanted level (14) Wanted as a Racer
Drive any Corvette in the wet
Reach top speed in a Lamborghini Diablo on a coastal road
Spike strip a car that is targeting you with an EMP
Reach wanted level (11) Outlaw as a Racer
Win any Hot Pursuit in an Aston Martin
Reach wanted level (8) Offender as a Racer
Use a full Turbo without hitting anything
Reach wanted level (6) Felon as a Racer
First Jammer use that affects a Cop
Get a hit with an EMP
Accumulate 2,000 yds of drift in a single event using the Subaru Impreza WRX STI
Reach wanted level (4) Target as a Racer
As a Racer, drive through an undamaged Road Block without hitting it
Wreck a Cop
Get a hit with a Spike Strip
Reach wanted level (2) Suspect as a Racer
Select a Friend Autolog Recommendation and beat it
Fill the Nitrous bar then use it all in one go without hitting anything