Here is the full list of all 43 Need for Speed Heat trophies - there are 31 bronze, 8 silver, 3 gold and 1 platinum.
Collect all trophies
Reach max Crew Level with your Crew
Complete 25 events online with other players
Get all Collectibles and 3 stars on all Activities
Get a 3 Star Rating on all the Activities in the game
Complete all Drift Zones
Take down 100 Cop Vehicles
Escape 100 Cop Chases
Hit 240 mph using any car
Complete all Speed Traps
Complete all Long Jumps
Win a race with handling parts for maximum off-road traction equipped
Collect all the Flamingos
Collect all Street Art
Smash your way through all the Billboards
Go from last to first place during the final lap of a race and win
Win the Discovery Event
Win a race with all vehicle effects slots equipped
Complete the Off-road driving story
Complete the Drift driving story
Win a High Heat 5 race and return to garage safely
Earn and bank 1 000 000 REP during one night
Win a race with handling parts for maximum drift equipped
Change the text on the License Plate
Reach REP Level 50
Win a race with a car at 400+ Performance Rating
Complete the Race driving story
Complete Chapter 4
Win a race with handling parts for maximum race equipped
Complete Chapter 3
Win a race with parts equipped in both auxiliary part slots
Win a race in a vehicle with an engine swap
Complete Chapter 2
Beat your first Crew Time Trial
Complete 5 events online with other players
Win a race with handling parts for maximum road traction equipped
Repair critical damage at a Gas Station at night
Complete Chapter 1
Win a race in a vehicle with tuned exhaust sound
Complete your first Daily Challenge
Customize a vehicle with a wrap
Reach REP Level 2
Pick your first ride