K I'm gonna be annoying and ask for more claims. :>;;;
QuothTheRavenShipping (Paul/Shinji & Honchkrow/Donkarasu)
Tutorshipping (Paul's Torterra / Shinji's Dotaitos & Ash's Grotle/Satoshi's Hayashigame)
and and and I have no idea WHY this one has no name cause it really should...
Paul's Honchkrow/Shinji's Donkarasu & Ash's Staraptor/Satoshi's Mukuhawk
(or just Honchkrow/Donkarasu & Staraptor/Mukuhawk for shorter)
(Although Darkwingshipping is Honchkrow x Staravia but that's not Staraptor, is it? hfjkhfjsj there should really be a name for this)