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