Here is the full list of all 17 Concept Destruction trophies - there are 2 bronze, 4 silver, 10 gold and 1 platinum.
Get all other trophies
Win the Championship
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 car "TIFA X/2" using car "ZIP JX"
Drive through one of the goal posts in "The Stadium"
Hit the hidden ball in "The Stadium"
Get to the paint zone in "The Rooftop"
Jump and stay in air for more than 3 seconds
Get out of the arena in "The Bulls"
Pass all school lessons
Get out of the driving area in School
Drive over 5 minutes in Tourism mode
Destroy a rival car in Tourism mode
Destroy a rival car
Survive over 3 minutes in Survival mode
Drive on the roof in "The Plaza"