Thomas Shey
Legend
3e managed it alright, and I don't accept the argument that separating things that need magic to exist from things that don't is a "fool's errand". It absolutely can be done if you want to and are willing to put in the design and worldbuilding work. I won't ever assume otherwise. WotC not doing so now is simply a choice, one of many with which I disagree, because I don't share their design and sales goals.
The problem is, once you start the vast majority of D&D monsters are "magical" by that standard, in one way or another. Even the 3e era "extraordinary ability" was often an informed attribute; it'd be applied to things that everyone would expect was magical if you didn't tell them otherwise.
You might be able to wash magic out of requirement for some basic monstrous humanoids, but even some PC races are magical, even if its in ways that typically don't have any game impact (elvish lifespan is by all evidence not possible without magic or advanced technology for a land animal of the size of a human).
I mean if you're deconstructionist enough you can do it with, well, humans and variants and animals, but that's about it, and you have to even be cautious where you go with them.