Oooh, you missed the dwarves of Eberron. They have the mark of Warding, which makes them ideal bankers who control the whole of banking. They have all the classic dwarf traits (greedy, dour, warlike) plus the newest Eberron book says they are infatuated with the daelkyr, a long buried race of inhuman flesh-crafters and cosmic horrors.
I wonder when people say "I want D&D races to be more like Eberron" if they mean the jewish dwarves, the Mongol elves, the headhunter drow, and the First World halflings, or do they just mean the non-evil orcs?
It's mostly that last one, though I think Eberron deserves a bit more credit than you're giving it here. The halflings of the Plains don't draw from any specific indigenous cultures but instead incorporate many tropes (not stereotypes) from around the world, which is to say nothing of the Daask. Tairnadal elves may be horseback marauders with little care for administration, but their imagery largely invokes the Middle East/North Africa, and their religion differs vastly from both historical sources.
And as mentioned, these are cultural traits, not racial. And no individual culture draws distinctly from any single set of stereotypes (except the Lhazaar Principalities I guess), so while each distinct culture has its own sources of real world inspiration, there seems to be to make each a unique blend of synthesis beyond "these elves are mongols". Which is a fair sight better then the "all orcs are evil mongols" approach of many other settings.
It's certainly not perfect by any stretch, but it's head and shoulders above the rest of multiverse when it comes to racial presentation
I've mentioned before that Eberron is one of my favorite official D&D world, and I stand by that claim. It has its problems. Less problems than most other settings (the list of issues with Mystara and the Forgotten Realms could go on for pages), but that isn't any excuse for these links.
The problems with House Kundarak (Mark of Warding Dwarves) mostly come from Tolkien explicitly building Jewish stereotypes into his dwarves, which D&D as a whole has taken and incorporated into its different settings. I personally don't see what the problem with their connection to the Daelkyr in 5e has to do with antisemetic stereotypes (but would gladly hear an explanation for the perceived issue), but there are issues, and it's largely the fault of base D&D and Tolkien's Dwarven stereotypes borrowing heavily from Jewish stereotypes. And Eberron is at fault for not changing up Dwarves from the D&D baseline until D&D 5e, which doesn't change them all that much anyway. (See the
Our Dwarves Are All the Same trope for more information on this.)
Drow are an especially big issue, and I always change them in my Eberron games, but they could use some reworking. I do believe that some more recent articles by Keith Baker on his blog-site have added more culturally distinct types of Drow that aren't as connected with the "Exotic Tribal Jungle People of Color" stereotype, but they're still a problem. I don't really see most of the issues with Tairnadal Elves and Talenta Halflings, because while they do borrow some imagery from real-world existing cultures, their most defining features are extremely fantastical and don't really echo any real world cultures all that much, at least, not the ones that they already borrowed imagery from. (Tairnadal Elves use Double-Bladed Scimitars, worship patron ancestral spirits, are mercenaries, and ride on fairy horses, while Talenta Halflings
domesticate Dinosaurs and seem to evoke more "primal caveman" vibes to me than First World peoples.)
And to address the question at the end of
@Remathilis's post, yes, I do think that most of what people are talking about when they say "I want D&D races to be more like Eberron races" that they do mean the non-Always-Evil Orcs, Goblinoids, Drow, Yuan-Ti, Gnolls, and similar races, and how a Dwarf doesn't have to know Dwarven if it wasn't raised in the Mror Holds. Which I do think is a good idea. If there's a race that is playable, its base mechanics should probably be setting-agnostic, otherwise it will be too restrictive on the possible worlds that can exist. They don't mean the racial stereotypes that are attached to Eberron's various races and monsters (don't get me started on the Carrion Tribes, which are an entirely different problem, because they evoke the cultural stereotypes of the people that the monster came from in the real-world, which is a big issue that basically all D&D worlds have).