LogFAQs > #965059653

Coils is weird in that you only need to complete turn 5 to do the next quetline to unlock the next tier. And then you only need to do turn 9 and finally just turn 13 to see the end of the story. That said there are a bunch of cutscenes in almost all of the fights.

What you can do is pf turn 5, 9 and 13 while skipping all cutscenes to get it out of the way, then do new game+. How it will work is you'll do the story again leads to turns 1-5. Then you can immediately accept the quest that follows but will ask you if you wanna watch all the cutscenes from turns 1-5. Says yes and so it will play all that story for you and then start the quest that leads to turns 6-9. And then the same thing will happen for the next tiers.

Alternatively, find some kind souls that will wait for you in the cutscenes of all 13 fights.