Recorded a bunch more, I've noticed that the animations for the candidate's supers seem to be situational, and I'm not sure what really determines that. I noticed that when I finished off CFW Magic with Celestial Severance, it had some additional animation at the end of it, which I didn't get a chance to record due to not expecting it. It's possible the animation is also dependent on if they are in HDD form or not, which means that I'll have to attempt it with Ram/Rom as well as somehow doing it for the combination attack...

Skills in Order of Appearance:
XMB: Empress --- More powerful version of XMB (Uni)
Northern Cross --- Rom's Super (Rom)
Absolute Zero --- Ram's Super (Ram)
Telephone Zapper (Denwa Renji) --- The infamous time travel microwave (5pb.)
32-bit Mega Blade --- Animation does not really change in HDD form (Neptune)
E-Force Blizzard --- Random skill both Ram and Rom get (Ram / Rom)
Justice Knife --- (Nisa)
NGP --- Recorded again, this time in HDD form, she doesn't do the finishing hits unlike in the Brave battle, I'm as of yet unsure if this is because the enemy was already dead or not... (Uni)
Thehellis Allthis! (Inafune Beam) --- Obtained from the second Inafune TV event in Planeptune's chirper (Chapter 6) (Nepgear)
Gust's Drawing Song --- Obtained from a random Gust chirper event. (Gust)