Earlier quoted context omitted.
He did it so well that most "high" fantasy that came out after him felt derivative of Tolkien. I'd really like to see counter-examples though; I feel like I haven't dived into the genre enough, in part because I'm turned off by the sheer volume of some book (series) on the one hand, and the juvenile tropes (generic hero's journey formula) on the other.
I would think "high fantasy" to be defined as "tolkienesque" (great evil to defeat and save the world). But there's a ton of fantasy where the other important tropes of Tolkien (great lost past, the dark empire, all good on one side and all bad on the other, the pure heroes) is missing. The first that come to mind are "the wheel of time" and "the chronicles of Thomas covenant". Also if you move from high fantasy ther…
The closer you get to reality -- the more magic becomes a tool, rather than a rule ala gravity, the "lower" your fantasy gets; the lowest essentially being the one guy who stumbles into magical powers, but no one else has anything close, or a portal dimension opens and thrusts magical creatures upon our universe for a bit.
tolkienesque would be more specifically the tropes of LOTR, as you've described.
But essentially any modern high fantasy film/tv/game (I don't read much fantasy, so I can't comment on books) either mimics tolkien's systems and races (elves are slender long-lived creatures of the forests, dwarves are short hole-digging mountain-men, glowing weapons and runes scattered throughout the lands, wizards as wise-men etc), or it is best described as a reaction to tolkien -- deliberately trying to be NOT-tolkien.
In my mind, the failure to detach wholesale from tolkien, but still exist as "high-fantasy", is because few attempt a more holistic attempt at it -- to craft the rules of the universe, run the (mental) simulation, to set the stage for whatever plotline. Instead the world is crafted in the void, but because the rules are never clearly defined, it naturally defaults to similar rules as tolkien (randomly broken to fit the story, because they were never defined well-enough to review).
However, there are stories more derived from gods & myths that would fit my given definition of high fantasy, though I'm not sure I'd put them under the same umbrella as tolkien