Here is the full list of all 29 Light Fairytale Episode 1 achievements.
First optional event.
Get a bomb from the hiding cat girl.
Talk to some NPCs from behind.
Almost fall off the cliff.
Check Haru's place.
Find hiding Kuroko.
Overhear the station soldiers talking.
Talk to the sprinting scavenger.
Talk to angry Kuroko.
Win your first battle.
Use the A.R. goggles enough before the 1st battle.
Check the fizzle vending machine before the fortune teller event.
Check the class 3 A.R. goggles before talking to Daisuke.
Get the credits after the fortune teller event.
Get caught during the stealth minigame.
Get a high score of 75+ in the stealth minigame.
Get a high score of 100+ in the stealth minigame.
Get an orb from the ex-number one.
Went to the corridor with Miyu's materials.
Reach the fury status during battle.
Do a 100+ single HP damage to an enemy.
Do a 250+ single HP damage to an enemy.
Complete the main story in episode 1.
Complete Kuroko's story.