Here is the full list of all 16 Concept Destruction achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Destroy 3 rival cars in a single event
Destroy a rival car
Get to the paint zone in "The Rooftop"
Destroy car "TIFA X/2" using car "ZIP JX"
Win the Championship
Pick up 5 batteries from other cars (it doesn't need to happen in a single event)
Get out of the arena in "The Bulls"
Destroy a rival car in Tourism mode
Pass all school lessons
Jump and stay in air for more than 3 seconds
Hit the hidden ball in "The Stadium"
Get out of the driving area in School
Drive on the roof in "The Plaza"
Drive through one of the goal posts in "The Stadium"
Survive over 3 minutes in Survival mode
Drive over 5 minutes in Tourism mode