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