I was refraining myself from replying in this thread because my series hasn't had much progress yet and still in a semi-early stage, but I just-- slide over and put down my children.
IMHO, I think Noah (the main character) and Li of :Rebirth could qualify for a non-romantic dynamic. As much as their relationship are hardly the center of the story (you can even deem it non important) and despite the fact Li is just a side character, I adore their interaction. Noah likes Li, but this 'like' is a feeling that you would have for a close friend. Someone that you can share your feeling with and getting advice from. Li 'loves' Noah, yes, 'love', but her love is a pure form of love that I would classifies as non-romantic. She doesn't want to be a couple with him, doesn't want him to hold her, doesn't even want to kiss him, basically any sort of sexual/romantic things is a no and never even came into her head. But when I say love, I mean that Li admires Noah, adore him, and even came near to the level of worshipping. She can go as far as sacrificing herself for him as long as he can live on and be happy. (As seen in the flashback of first chapter, a very vague one lMFAO)
TBH not much of what I'm blabbering here have been shown in the series yet, but I'm hoping to quickly have more episodes out and portraits more of their interaction T_T because darn it, platonic relationship is my weakness okay...