Here is the full list of all 41 Dangerous Driving trophies - there are 22 bronze, 15 silver, 3 gold and 1 platinum.
Complete all Hypercar Class events
Unlock Prototype Hypercar
Complete all Supercar Class events
Win every round of a GP
Unlock Prototype Supercar
Empty a full Boost Bar in one go in Survival
Gold Medal a Road Rage without crashing
Complete all Coupe Class events
Unlock Prototype Coupe
Complete all SUV Class events
Unlock Prototype SUV
Win a Takedown Race after being in last place on the last lap
Complete all Sedan Class events
Win a GP
Gold Medal a Survival
Drive 5 miles in a Survival
Unlock Prototype Sedan
Win a Pursuit
Get a Gold Medal in Pursuit
Take down your opponent 5 times in a single Face Off
Get a 10x Heatwave
Get a 3x Heatwave
Win a Face Off
Win a Road Rage
Drive 100 miles in any car
Win a Shakedown without crashing
Get a Shakedown Gold Medal
Win a Takedown Race
Get a Takedown Hot Streak
Get a Double Takedown
Platinum Trophy
Gold medal all Pursuits
Gold medal all Takedown Races
Gold medal all Road Rages
Gold medal all Shakedowns
Gold medal all Face Offs
Gold medal all Survivals
Unlock Prototype Formula DD
Drive 1000 miles in any car
Drive 50 miles in every car
Drive 100 miles in every car