Crack Pairing: Kyubi/Minako. It's so creepy, that no one likes thinking about it... reader or character.
Crossover Ship: Kakashi/Setsuna on the other hand seems to be rather popular among readers and characters.
Fanon: The story uses the fanon name Arashi Kazama for the 4th Hokage. But to be fair, he was introduced before his name was revealed, but still.
Moe: Cerulean, one of the 7 Colors introduced in New Lives S is described as the perfect "Moe girl".
Ships That Pass in the Night: In chapter 9 of New Lives L, Kiba is paired up Fu (the holder of the 7 Tails), Emma acknowledges that that it can't happen in canon and has no idea why she like's them together.