Here is the full list of all 47 No Straight Roads (EU) trophies - there are 36 bronze, 7 silver, 3 gold and 1 platinum.
Unlock your first skill.
Attach your first sticker to an instrument.
Collect 4 collectibles.
Recruit Kliff.
Pick up a sticker in the city.
Power up one mini Qwasa device.
Defeat DJ Subatomic Supernova.
Finish the Audition.
Obtain all trophies in No Straight Roads.
Defeat Sayu.
Defeat DK West for the first time.
Defeat Yinu.
Defeat 1010.
Defeat Eve.
Defeat Tatiana.
Destroy the falling satellite.
Defeat DJ Subatomic Supernova without getting knocked out.
Defeat Sayu without getting knocked out.
Defeat DK West on any fight without getting knocked out.
Defeat Yinu without getting knocked out.
Defeat 1010 without getting knocked out.
Defeat Eve without getting knocked out.
Defeat Tatiana without getting knocked out.
Have your first interview with a DJ.
Recruit Gigi.
Feed the Ellie-gator 5 times.
Take the Ellie-copter for the first time.
Collect 8 collectibles.
Collect 14 collectibles.
Collect 18 collectibles.
Collect 22 collectibles.
Collect all collectibles.
Finish all boss fights on “Hard” mode.
Finish all boss fights on “Crazy” mode.
Finish all boss fights on “Parry” mode.
Finish all boss fights on “Perfect Parry” mode.
Have 4 stickers on any instrument.
Activate first 5th tier skill in the game.
Unlock all skills in the game.
Select RESTART in GIG OVER screen for the first time
Successfully launch a planet towards DJSS using Zuke’s transformation.
Kill 50 swordfishes in a Sayu battle.
Destroy 8 robots in a 1010 battle.
Use Burning Hair Fashion against Eve.
Equip 4 movement speed stickers on an instrument.
Equip 4 damage stickers on an instrument.
Power up all mini Qwasa devices.