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
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
Destroy a rival car
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"
Destroy 3 rival cars in a single event
Survive over 3 minutes in Survival mode
Drive over 5 minutes in Tourism mode