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