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