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.
Get to the paint zone in "The Rooftop"
Get out of the arena in "The Bulls"
Hit the hidden ball in "The Stadium"
Drive through one of the goal posts in "The Stadium"
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)
Jump and stay in air for more than 3 seconds
Survive over 3 minutes in Survival mode
Drive over 5 minutes in Tourism mode
Destroy a rival car in Tourism mode
Drive on the roof in "The Plaza"
Get out of the driving area in School
Pass all school lessons
Destroy 3 rival cars in a single event
Destroy a rival car