Here is the full list of all 26 Need for Speed Rivals trophies - there are 10 bronze, 8 silver, 7 gold and 1 platinum.
Earn all Need for Speed™ Rivals Trophies
Reach Cop Rank 60
Reach Racer Rank 60
Reach Cop Rank 40
Earn 100 Gold medals across both factions
Bust a Racer at Heat 8 or greater
Reach Cop Rank 20
Reach Racer Rank 40
Purchase 10 Racer vehicles
Reach Racer Rank 20
Bank 500,000 in one go
Bust 50 Racers
Bust a Friend
Win a Race against a Friend
Get 50 seconds of air time in any Ford car
Reach Cop Rank 10
Bust 10 Racers in a Mustang
Drive 50 cumulative minutes in any Ford then enter garage
Reach Cop Rank 5
Bust a Racer at Heat 5 or greater
Upgrade all Cop Pursuit Tech in one car to maximum level and equip both slots
Reach Racer Rank 10
Reach Racer Rank 5
Hit a X 10 Multiplier
Reach Heat 10
Bank your first score