Yeah, I didn't know the actual term slant rhyme, I just went with what you guys seemed to use it as. I would also just say near rhyme. But sources like wikipedia and rhymezone aren't really that credible vs. actual battle rappers, hehe.
Btw I don't quite get what you guys mean with "phonetic rhymes". Phonetics just means the study of the sounds of language, i.e. everything that can be notated via Indian Pale Ale a.k.a. the International Phonetic Alphabet; so all rhymes are actually phonetic, so "phonetic rhyme" is redundant (/pleonastic).
In old days in poetry and whatnot, ppl used to rhyme way more on the page than through the sound. So maybe that's what you are hinting at? When the actual letters align, even if the sound does not. That way of rhyming definitely has it's charm, because it shows a grasp of grammar and a literary sensibility. It's hard for me to think of an example in English right now, but there are many in Danish. The only one that comes to mind, which is an actual rhyme, though, but which I think is beautiful, is one I did with "ideal man" and "pineal gland", because the internal letters are actually the same in ideal and pineal, even if something could have rhymed just as well with double e instead of ea, for instance. But yeah, probably not the best example, since it's an actual rhyme, both orthographically and phonetically. I guess I would call the other ones orthographic rhymes, actually. But maybe it's more of a Danish thing..?