Nightmare before christmas is one of the greatest stop motion movies of all time. I'd have put it ahead of L and S in regards to visuals and sound. Story too because L and S is carried by its characters and their interactions.
I don't think Nightmare has the cast to match L and S but I do think Jack is a character that, like Lilo, deals with a serious real world problem and a form of depression that isn't normally handled like that.
Against B n B, music is about the same, I'd still gove Nightmare a win in visuals because I fucking love stop motion but B n B is still great. Then, well, it depends on whether you prefer the classic disney movie in regards to story and aesthetic over the more experimental, unique Nightmare.
Personally, I like Nightmare because its more unique and I enjoy its aesthetic choices but w/e