There are 24 Trophies that can be collected.

Bronze

Custom Collection    
Customize each of the 8 vehicle classes within your RC Collection    

Ghost Busted    
Beat a friends ghost in a Race or Time Attack who currently sites above you in the leaderboards    

Playground Bully    
Unlock all 4 areas of the playground    

Seasoned Racer    
Earn 48 medals within the Festival    

Round the Clock    
Earn 24 medals within the Festival    

Storm Chaser    
Complete a Festival event in each of the 4 MotorStorm locations    

The Triple    
Win all 3 medals on any Festival event

Silver

Silver Standard    
Earn a minimum of 2 medals across all of the 64 Festival Events    

Supercharged    
Unlock the Supercar    

Playful    
Played with all 8 vehicles within the playground in one visit    

Eye of the Storm    
Earn 96 medals within the Festival    

Let it Slide    
Bank a single drift score of 2000 or more    

Wall Brawl    
Use the Pitwall to beat 10 of your friends times    

As Good as New    
Finish 1st, 2nd, or 3rd in a Festival Race event without colliding into a competitor or barrier.

Gold

RC Champion    
Achieve a time of 40:00 or less in the RC festival    

Apocalypse Champion    
Achieve a time of 10:00 or less in Apocalypse    

Arctic Edge Champion    
Achieve a time of 12:00 or less in Arctic Edge    

Pacific Rift Champion    
Achieve a time of 10:00 or less in Pacific Rift    

Monument Valley Champion    
Achieve a time of 10:00 or less in Monument Valley    

Re-Scaling New Heights    
Earn all 3 medals on each of the Festivals 64 events    

Wiped Out    
Beat a time of 17 seconds on the event 'Wipe Out'

Platinum

Lunatics Unite    
Unlock all Trophies

2 Secret

http://www.ps3trophies.org/game/motorstorm-rc-vita/trophies/   

Origami Killer said:

Even have a platinum for this? very impressed considering its low price tag 

pleasantly surprised as well mate.