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.
Survive over 3 minutes in Survival mode
Win the Championship
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"
Get out of the arena in "The Bulls"
Get to the paint zone in "The Rooftop"
Drive through one of the goal posts in "The Stadium"
Drive over 5 minutes in Tourism mode
Destroy car "TIFA X/2" using car "ZIP JX"
Destroy a rival car in Tourism mode
Pass all school lessons
Pick up 5 batteries from other cars (it doesn't need to happen in a single event)
Destroy 3 rival cars in a single event
Destroy a rival car