Here is the full list of all 36 GRIP trophies - there are 21 bronze, 9 silver, 5 gold and 1 platinum.
Collect all Trophies
Destroy 250 opponents
Destroy 100 opponents
Finish all carkour courses
Destroy 50 opponents
Destroy 5 players without dying
Race 1000 laps in total
Average a speed 700kmph+ in a race
Hit Mach 1 in a race
Finish a 20 lap race
Finish the campaign
Race 250 laps in total
Pull a wheelie on the ceiling
Finish a carkour course
Create a custom tournament
Hit 3 or more opponents with a single charged RamRaider
Hit an opponent with a Scorpion launched when airborne
Win a race by passing the leader in the last second
Race 50 laps in total
Hit 3 or more opponents with a single Hydra
Destroy 4 players without dying
Destroy 3 players without dying
Destroy 2 players without dying
Go from 10th to 1st within one lap
Hit an opponent with a full round of Raptor bullets
Finish an arena match
Hit an airborne opponent with the Scorpion
Destroy an opponent
Perform a double-somersault when airborne
Hit only vehicles with every Hydra missile in a salvo
Finish 1st 6 races in a row
Finish 1st 3 races in a row
Destroyed some scenery
Finish 1st in a race
Finish a race
Finish the tutorial