Here is the full list of all 47 No Straight Roads: Encore Edition achievements.
Defeat DJ Subatomic Supernova (min C rank).
Defeat DJ Sub without getting knocked out (min C rank).
Finish the Audition.
Defeat Sayu (min C rank).
Defeat DK West for the first time (min C rank).
Defeat Yinu (min C rank).
Defeat 1010 (min C rank).
Defeat Eve (min C rank).
Defeat Tatiana (min C rank).
Destroy the falling satellite.
Defeat Sayu without getting knocked out (min C rank).
Defeat DK West on any fight without getting knocked out (min C rank).
Defeat Yinu without getting knocked out (min C rank).
Defeat 1010 without getting knocked out (min C rank).
Defeat Eve without getting knocked out (min C rank).
Defeat Tatiana without getting knocked out (min C rank).
Have your first interview with a DJ.
Recruit Kliff.
Recruit Gigi.
Feed the Ellie-gator 5 times.
Take the Ellie-copter for the first time.
Collect 4 collectibles.
Collect 8 collectibles.
Collect 14 collectibles.
Collect 18 collectibles.
Collect 22 collectibles.
Collect all collectibles.
Finish all boss fights on "Hard" mode (min C rank).
Finish all boss fights on "Crazy" mode (min C rank).
Finish all boss fights on "Parry" mode (min C rank).
Finish all boss fights on "Perfect Parry" mode (min C rank).
Pick up a sticker in the city.
Attach your first sticker to an instrument.
Have 4 stickers on any instrument.
Unlock your first skill.
Unlock first 5th tier skill in the game.
Unlock all skills in the game.
Select continue in game over screen for the first time.
Successfully launch a planet towards DJSS using Zuke's transformation.
Kill 50 swordfishes.
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.
Unlock one mini Qwasa device.
Unlock all mini Qwasa devices.
Obtain all trophies in No Straight Roads.