Here is the full list of all 47 Need for Speed: Most Wanted trophies - there are 35 bronze, 9 silver, 2 gold and 1 platinum.
Awarded for successfully collecting all Most Wanted trophies
Play a Custom Speedlist you have created (Multiplayer)
Unlock 3 Pro Mods in Multiplayer
Escape the cops with at least one blown tire
Takedown a friend in Multiplayer
Get 5 or more NFS friends
Beat a friend’s Autolog Recommendation
Smash a friend’s face on a billboard and beat their jump distance
Smash every Billboard
Finish first in every race, in every car (Single Player)
Break through every Security Gate
Escape from the cops in the Marussia B2
Escape successfully from all Heat levels
Wreck 10 cops in a single pursuit in the Ford F-150 SVT Raptor
Takedown 50 Cops
Customize your license plate and number in Multiplayer
Trigger every Speed Camera
Trigger a speed camera at over 200mph (321.97km/h)
Jump over 200 yards (182.88 meters) through a Billboard
Drive every Car
Find every Jack Spot
Unlock all the Pro mods on a car (Single Player)
Drive over 5 spike strips with re-inflates equipped
Own all the Most Wanted cars (Single Player)
Shut down Most Wanted car number 1: Koenigsegg Agera R (Single Player)
Shut down Most Wanted car number 2: Pagani Huayra (Single Player)
Shut down Most Wanted car number 3: Bugatti Veyron Super Sport (Single Player)
Shut down Most Wanted car number 4: Lamborghini Aventador (Single Player)
Shut down Most Wanted car number 5: Porsche 918 Spyder Concept (Single Player)
Shut down Most Wanted car number 6: McLaren MP4-12C (Single Player)
Shut down Most Wanted car number 8: Mercedes-Benz SL 65 AMG (Single Player)
Shut down Most Wanted car number 7: Lexus LFA (Single Player)
Shut down Most Wanted car number 10: Alfa Romeo 4C Concept (Single Player)
Takedown every racer at least once in a single race
Shut down Most Wanted car number 9: Shelby COBRA 427® (Single Player)
Repair a burst tire at a Bodyshop
Drive through a roadblock without hitting it
Unlock a mod for a car in Multiplayer
Use a Billboard and a Jack Spot to successfully evade a pursuit (Single Player)
Smash through a roadblock without crashing
Get Busted for the first time
Use a Jack Spot in a Pursuit (Single Player)
Move up the Most Wanted List for the first time
Takedown your first Cop
Empty a full nitrous bar without hitting anything
Use a Bodyshop to paint or repair your car for the first time
Do a 250 yard (228.6 meter) drift