Here is the full list of all 35 The Great Race achievements.
Make 8 spins on any car
Dont touch ground for 7 seconds
Playing Professor, while invisible, catch any car
In Greed Mode, spend total 5 rounds on map "BUILDING" in just one sitting
In Greed Mode, spend total 5 rounds on map "KUADFU" in just one sitting
In Greed Mode, spend total 5 rounds on map "ALIEN MOON" in just one sitting
In Greed Mode, spend total 5 rounds on map "MIST" in just one sitting
In Greed Mode, spend total 5 rounds on map "AQUARIUM" in just one sitting
In Greed Mode, spend total 5 rounds on map "SPACE" in just one sitting
In Greed Mode, collect 100 gear coins on any map in just one sitting
Receive first 1000 points
Receive total 10000 points in just one sitting
Receive total 50000 points in just one sitting
In Zombie Mode, win round as Zombie
In Greed Mode, win on map "BUILDING"
In Greed Mode, win on map "KUADFU"
In Greed Mode, win on map "AQUARIUM"
Playing Greed Mode, win on map "MIST"
In Greed Mode, win on map "SPACE"
In Greed Mode, win on map "ALIEN MOON"
Finish the story and reveal the terrible truth of the race
Explore map "ALIEN MOON" and find Taxi-Driver-Token
Playing Crone, grab 1000 points in one round
Playing Soldier, make 10 shoots in one round
Playing Jack&Jackie, after jump, catch other car
Playing Rider Girl, use nitro and make 3 tricks in air in one round
Receive 1500 points in 5 seconds and become greedy
Playing Taxi Driver, kick up 5 cars by shovel in one round. Each car must be in the air at least 2 seconds after kick.
Win on secret map and forget
Explore map "MIST" and find Soldier-Token
Explore map "SPACE" and find Professor-Token
Explore map "BUILDING" and find Jack&Jackie-Token
Explore map "AQUARIUM" and find Crone-Token
Explore map "KUADFU" and find Girl-Rider-Token
Win "Children of the Corn"