Galiandra

That matchup makes no sense at all. One is a conniving witch that wants to bring back a race of all-powerful ice beings that want to freeze the world over. The other is pretty straightforward "Demacian justice" guy who happens to be a depressed gargoyle statue.

If there's any champion that Galio would make sense with, it's Orianna. They're both constructs, though Orianna is more "weaponized." She's usually shipped with Blitzcrank, though (who I'm surprised isn't listed as a friend of Galio's).