Here is the full list of all 20 Ridge Racer Driftopia trophies - there are 20 bronze.
Win a challenge race
Win a Spirit Career race with the backup Grover
Win a Spirit Career race while using a Mythic booster card
Finish a Spirit Career race in top three with Grover LE
Win a Spirit Career race without going through any targets
Win a Spirit Career race without using a booster card
Win a Spirit Career race
Frag a spirit car in a Spirit Career race
Frag seven spirit cars in a Spirit Career race
Win a Spirit Career race on Anarchy Street
Destroy eight targets in one race
Destroy four targets in one race
Enter a challenge race with seven opponents and frag them all
Frag the #1 car 200m before the finish line
Be in first tier when a Timed Challenge ends
Frag four spirit cars in a Spirit Career race
Frag five cars and finish 1st with the Wheelie card active
Get 150m of airtime with one jump
Reach 360km/h, or 223 mp/h
Win a Spirit Career race with Shindo Ashburn without using a booster card