Here is the full list of all 18 Instinct Rush achievements.
Drive 1000 meters in a single round
Drive 10,000 meters in a single round
Drive 20,000 meters in a single round
Get 5-star crime level
Die once
Rush 10 times in a single round
Get 2nd car
Get 3rd car
Get 4th car
Get 5th car
Get 6th car
Get 7th car
Get 8th car
Hit 100 cars in a single round
Touch 1000 bars in a single round
Cut 100 people in a single round
Took a picture by pedestrians
Cut one people