Here is the full list of all 55 Little Deviants trophies - there are 45 bronze, 8 silver, 1 gold and 1 platinum.
Roll 500,000m.
Collect 5,000 Stars.
Destroy 2 or more Dead 'Uns with one fire attack in Corridor Calamity.
Destroy 2,500 Botz.
All Moggers collected.
Collect at least 120 pickups in a single game of Risky Trails.
Destroy 500 Dead 'Uns.
Bounce a Deviant 1,500 times.
Splat 6 or more Dead 'Uns with one shot in Rotten Rumble.
Boost over the finishing line in Street Speeder.
Jump on one platform 5 times in Bouncer Trouncer.
Collect 1,000 Clocks.
Fly 1,000,000m.
Play Rolling Horror between 00:00 and 01:00.
Boost through all the rings in any single stage of Cloud Rush.
Score over 35,000 points in Shack Shover without hitting a Whoman or a Deviant.
Win at least a bronze spaceship on all games.
Destroy 20 Botz in Destructor Constructor.
Input 3 consecutive codes correctly in Cannon Codes.
Smash 5 frozen Botz or more in a game of Corridor Complications.
Unlock Blackrust Refinery region.
In City Shover hit all 12 Number-Botz in sequence.
Hold a note in Smashing Tune for at least 5 seconds.
Collect 3 bird pickups in a single game of Tower of Boing.
Break open a crate in under half a second in Rolling Shores.
Unlock Metroburg region.
Pick up the Star from the secret chamber in Risky Rambler.
Unlock Surfcrest Bay region.
Use each of the PlayStation®Vita system's input devices that are featured in Little Deviants.
Unlock Chillrock Gorge region.
Boost 5 times in a row without crashing in Death Speeder.
Win your first gold spaceship.
Challenge a PlayStation®Network friend.
Post a score to the online leaderboard.
Win your first bronze spaceship.
Collect your first Mogger.
Unlock Twisty Root Grove region.
Unlock all other trophies.
Win a gold spaceship on all games.
Win at least a silver spaceship on all games.
All gallery items unlocked.
Defeat a challenge from a PlayStation®Network friend.
Complete Rolling Pastures with full health at the end of the game.
Complete Corridor Caper without using any EMP pickups.
Complete Hot Air Hero without patching the balloon once.
Destroy 10 Botz without missing a shot in a game of Botz Invasion.
Score at least 28,000 points in Chalet Shover without using any Clock pickups.
Hit at least 10 different wind vortices in Depth Dive and still complete the game.
Complete Depth Charge without hitting any walls.
Complete Botz Blast without wiping any green goo from the screen.
Complete Aqua Speeder without picking up more than 20 Stars.
Finish Stage 4 of Depth Avenger with at least 10 seconds remaining.
Complete Stage 1 of Risky Inclination with at least 30 seconds remaining.
Complete Neutron Nudger without any Botz damaging the energy sphere.
Complete Manic Melter by only twisting the platform clockwise.