Here is the full list of all 35 GRIP achievements.
Destroy an opponent
Finish an arena match
Hit Mach 1 in a race
Destroyed some scenery
Create a custom tournament
Finish a 20 lap race
Race 100 laps in total
Finish 1st in a race
Go from 10th to 1st within one lap
Hit an airborne opponent with the Scorpion
Hit 3 or more opponents with a single Hydra
Finish a race
Hit only vehicles with every Hydra missile in a salvo
Hit an opponent with a Scorpion launched when airborne
Finish the tutorial
Perform a double-somersault when airborne
Race 2500 laps in total
Race 10000 laps in total
Finish 1st 3 races in a row
Finish 1st 6 races in a row
Average a speed 700kmph+ in a race
Hit 3 or more opponents with a single charged RamRaider
Destroy 2 players without dying
Destroy 3 players without dying
Destroy 4 players without dying
Destroy 5 players without dying
Destroy 50 opponents
Destroy 500 opponents
Destroy 1500 opponents
Finish a carkour course
Finish all carkour courses
Finish the campaign
Pull a wheelie on the ceiling
Hit an opponent with a full round of Raptor bullets
Win a race by passing the leader in the last second