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