Here is the full list of all 34 KILL la KILL IF trophies - there are 16 bronze, 12 silver, 5 gold and 1 platinum.
Obtained all trophies.
Played Versus Mode 100 times.
Played 50 matches in Versus Mode.
Unlocked 20 sound test tracks.
Unlocked Gallery Mode and viewed the glossary.
Unlocked a bonus voice in Voice Library.
Created a digital figure diorama.
Achieved a 20-hit combo in Training.
Defeated a 3-Star difficulty COM with 10 characters in Free Battle (COM equal or with bonuses against the player).
Unlocked 15 digital figures.
Executed all SEN-I-SOSHITSU Secret Arts.
Battled on all stages in Versus Mode.
Defeated 5000 COVERS in COVERS Challenge.
Cleared 1 Minute Brawl with 5 characters.
Played Survival Challenge with 5 characters.
Picked up 15 mystery croquettes.
Earned over 100,000 GP.
Defeated 1000 units in Endless Brawl.
Defeated 500 units in Endless Brawl.
Cleared 100-Man Brawl within 100 seconds.
Defeated 1000 COVERS in COVERS Challenge.
Defeated 150 enemies in 1 Minute Brawl.
Won 50 consecutive battles in Survival Challenge.
Earned over 50,000 GP.
Won 30 consecutive battles in Survival Challenge.
Won 10 consecutive battles in Survival Challenge.
Obtained an S rating on all Story Mode battles.
Won the battle in Story Mode - Ryuko Chapter: Episode 10.
Won the battle in Story Mode - Ryuko Chapter: Episode 5.
Won three consecutive Bloody Valor sequences with an advantage against a COM.
Won the battle in Story Mode - Satsuki Chapter: Episode 10.
Won the battle in Story Mode - Satsuki Chapter: Episode 5.
Cleared the Tutorial.
Input all commands in Tutorial and won.