Aside from LotR, I haven't read any of those authors.
I got my sense of fantasy from Mythology (which has an incredible array of weird humanoids that is really under appreciated), cartoons, and things like Xanth and Dealing with Dragons and the Myth books.
Later I found D&D, and I was immediately drawn to Planescape races, and the animal-based races (tabaxi, lizard men, and thri-kreen), and Saurials.
I found genasi to be especially awesome in concept, if not necessarily in execution.
And, of course, there are the films and cartoons I grew up with, and various sci-fi races...
Comic books, certainly, are a pretty huge influence, too.
That's my standard fantasy.