Me and my art to ship non canon couples
Ichirukia (I really thought that this would be canon, like, they had it right there! The kid fought the whole soul society just to save her, and she was right there, beside him, fighting with him shoulder to shoulder)
Dramione (yes, they don't have lots of interactions but tell me that it wouldn't be beautiful to see a redemption arc to Draco where Hermione help him heal, and they fall in love, and got married, and that would be the final statement of the end of mud blood/pure blood hate)
Kacchako ('cause yes, I think they can bring the best of each other, if not as a couple at least as besties, I mean, he call her by her name for crying out loud)
Zutara (after last season I thought they would be canon too. Let's face it, there's not a single 14 y/o girl in this world who would actually prefer a 12 y/o over Zuko, and I mean none. Aang was like her best friend. And since Zuko got her necklace everybody kept asking if that belonged to her girlfriend... RIGHT FUCKING THERE)
Karmanami (They are hell out of cute together. Plus, they gave us so little, yet so beautiful moments together)
Nagikae (After that kiss? Yeah, sure, I'm gonna ship them with someone else)
Okikagu (Do I need to explain something here? Do I? As far as I concern they grew up and got married in a wedding that ended up in a fight club)
I have a lot more, but the thing they all have in common is: that none of them are canon.