Yeah, those were some interesting powers you exhibited there. I especially liked the Rift-based teleportation one, it was not an application of the ability I would have thought of.
In all seriousness, though, Pixy is just trying to be nice, but he give me the idea for the rift ability, though I came up with all the technobable. (incidentally, an Einstein-Rosen-Padosky bridge is a portal into another dimension, so they were making sure when they threw something in, it wasn't a duplicate object from another world an alternative version of them threw in their own rift coming out the other rift... if that makes any sense)
The portable shields look, in my head, like the shields in an early Sonic the Hedgehog game.
The imbued plasma cores came exactly from where Laurent said, inspired by Atka (or Gem) doing it.
Sergio is using ESP to make a more realistic version of trick shots. Now... to work on the gun-fu...
I'd be lying if their wasn't a little tentacle grape on my mind with the shadow control purple tendrils.
Fay was obviously a large inspiration for the knives, though they are more quantity over quality.
The pressure point thing was made up on the spot when I was writing the post where she got it. As for the thing she did to the Muton... what can I say, I like Jet Li movies...
Finally, Airi's sword was inspired by Kuwabara's spirit sword for Yu Yu Hakusho, Valentine, Ivy's weapon from Soul Calliber, and the Threaded Cane weapon from Bloodborne, with a... uh, fire sword thrown in for added effect.