Here is the full list of all 52 Team Sonic Racing trophies - there are 40 bronze, 9 silver, 2 gold and 1 platinum.
Collect all Trophies.
Unlock all of the Vehicle Paint Kits.
Collect all of the Team Adventure Mode Keys.
Earn every star in Team Adventure Mode Chapter 5.
Earn every star in Team Adventure Mode.
Complete all Team Adventure chapters on Hard difficulty.
Earn every star in Team Adventure Mode Chapter 7.
Complete Chapter 7 of Team Adventure Mode.
Complete Chapter 6 of Team Adventure Mode.
Earn every star in Team Adventure Mode Chapter 6.
Spend 5,000 Credits.
Complete Chapter 5 of Team Adventure Mode.
Complete Chapter 4 of Team Adventure Mode.
Earn every star in Team Adventure Mode Chapter 4.
Avoid the effect of being hit by an Ivory Lightning.
Unlock all of the Performance Mods (Except Legendary Mods).
Complete Chapter 3 of Team Adventure Mode.
Earn every star in Team Adventure Mode Chapter 3.
Collect 20,000 Rings.
Earn every star in Team Adventure Mode Chapter 2.
Gain 6 positions by using a single Yellow Drill.
Complete Chapter 2 of Team Adventure Mode.
Complete all possible events on hard in any Team Adventure Mode chapter.
While playing as Eggman, spin out Sonic 3 times in the same Race.
Perform 100 Team Slingshots. (Across all Game Modes).
Travel 200 meters over slow-down surfaces with a single use of a Jade Ghost.
Cause an opponent to spin-out using a Red Burst.
Spin out 2 racers with Cyan Laser.
Perform a Team Ultimate 3 times in a single Race.
Achieve 1st place in a race with a fully customized Vehicle.
Finish Frozen Junkyard without hitting any hazards or respawning.
Use the Violet Void to absorb a projectile and hit the racer who fired it.
Earn every star in Team Adventure Mode Chapter 1.
Land a hit on enemy racers with each use of a x3 Orange Rocket.
Cause 3 opponents to spin-out by shunting them with a Pink Spikes active.
Use the White Boost to destroy a projectile.
Modify a vehicle in the Garage.
Complete Chapter 1 of Team Adventure Mode.
Perform 10 Team Slingshots in a single Race.
Perform a triple Stunt.
Stay in a single Drift for over a minute.
Beat a friend's leaderboard time in Time Trial mode on any track.
Come first in an online race.
Finish an online race.
Avoid every hazard created by a Gray Quake.
Use the White Boost to avoid being slowed down by terrain.
Block an incoming projectile with a Blue Cube.
Complete a Team Race with 2 additional local players on your Team.
Send an Item Box to a Teammate 5 times during a Race.
Perform a maximum Start Line Boost.
Perform Team Item Transfer, Skimboost, Team Slingshot and Team Ultimate in a single Race.
Perform a Skimboost on a slow-moving Teammate.