Here is the full list of all 51 Ridge Racer Unbounded trophies - there are 40 bronze, 8 silver, 2 gold and 1 platinum.
You’ve earned all Trophies
Multiplayer. Frag 10 cars in one 8 player Domination Race.
Win all 5 events in any 8 player City Domination match.
Finish 1st in any 8 player multiplayer race without fragging anyone.
Finish 1st in any 8 player multiplayer race without using boost.
Win an 8 player multiplayer race with the Crinale.
Get three domination stars in all Time Attack events.
Get three domination stars from all Shatter Bay Frag Attacks.
Complete the Shatter Bay career.
Dominate all districts in Shatter Bay.
Finish 1st in every Shatter Bay Domination Race.
Dominate 50 challenge events.
Get three domination stars from all Shatter Bay Drift Attacks.
Reach rank 30.
Unlock all cars.
Get all Race Awards.
Destroy one of every City Target in the game.
Finish 1st in 150 Domination Races.
Cause $10,000 worth of collateral damage in one race.
Finish 1st in 50 multiplayer races.
Cause $100,000 worth of collateral damage in total.
Frag same racer three times in one multiplayer race.
Dominate 10 challenge events.
Frag a total of 10 racers while airborne.
Frag a total of 200 police cars in Frag Attack events.
Unlock the Nakamura Racer '70.
Destroy all targets and frag 5 racers in one race.
Publish a city with 5 events.
Publish a city.
Create a track that uses Advanced Editor.
Destroy 100 City Targets.
Destroy 25 targets in one event.
Get 10,000 m/yd of total Airtime.
Receive 20 awards in one race.
Destroy 10 city targets in one race.
Get your own car destroyed 100 times.
Get 50,000 m/yd of total Drifting.
Frag 20 cars in one race.
Frag 10 racers in one race.
Finish 1st in 50 Domination Races.
Finish 1st in 20 Domination Races with 0 frags.
Frag a racer just before the finish line.
Finish 1st in 20 Domination Races.
Finish 1st in 10 Domination Races without crashing or getting fragged.
Finish in top three without causing any collateral damage.
Reach rank 10.
Frag 200 racers in total.
Finish 1st with 2,000 m/yd of total Drifting in any 8 player Domination Race.
Frag any racer a total of 10 times while drifting.
Get 35,000 m/yd of total Chasing.
Complete Domination Race tutorial.