Here is the full list of all 23 SkyScrappers (EU) trophies - there are 6 bronze, 9 silver, 7 gold and 1 platinum.
Obtain all other trophies
Complete all the single player campaigns
Complete the single player campaign as Solene
Complete the single player campaign as Jessica
Complete the single player campaign as Kichirou
Complete the single player campaign as Phileas
Win a game without losing any health
Do a jump of over 15m from an inclined platform
Win a game by landing on the roof of a building
Complete a four-player multiplayer game with all human players
Strike a flaming object into another character
Completely fill your super bar
Finish a game with a weapon attack
Win a match for the first time
Hit an opponent with a ground pround attack
Do a three point landing trick
Strike a falling object into another character
Do a slide trick
Do a vertical rush trick
Do a long jump trick
Win your first round
Do a special move jump
Do a special move attack