In my home setting, I’m very particular about what races players can pick. None of the furry races, and generally just a handful of the fantasy races.

However, I told them up front that the mechanics of every WOTC-made race were on the table. So if a player wanted the mechanics of a Tabaxi, that’s fine. You’re just a really fast human/elf. We would reflavour the race to for in my setting. Because flavour is free and players like to have options. If the player and I can’t think of a reflavour, they can’t play the race.

As others have already said, you’re not required to allow any race in your homebrew setting. Heck, half my settings only allow humans and that’s it (not DnD though).

That being said, if you go for high fantasy, I think elementals (aka genasi) always add quite a bit to the lore and I would add at least one scaly race. Be it Dragonborn, Lizardmen or Naga and maybe a beast race if it fits your world.

But it really depends on the kind of world you want.

Humans, always, unless you’re doing a very specific setting to exclude them.

Elves, and dwarves are so intrinsic to the idea of fantasy role play, them not being there would flummox most players, even if they didn’t want to play one.

Halflings are almost as entrenched. But you could likely get away without them and not screw with expectations as much.

Now, me personally I’m essentially forever DM. So I tend to want either a big, strong human fighter I can just go ham with, or I want to play obscure shit that never actually gets used in most groups. But even I would expect the three “core” races to be available by default in a fantasy ttrpg. Well, as playable races. I’d expect others to fight :)

In other words, you’ve already got a good list, so there’s no need to add more

You are legally required to have dragonborn WITH TAILS. Sorry, I don’t make the rules.

I would just write the world in a way that is interesting to you, and add to it as players show interest. “Hey, I want to play a Tabaxi” -> “oh okay, let me think about what that means and I’ll get back to you.” This also gives you more latitude for using their ideas to inform the world. “I want to play a Tabaxi Wizard” -> “oh interesting, maybe there’s a clan of them that…”

You’ll be able to focus on what you care about, which will make the world more interesting, and allow players to incorporate things they care about if they wish, which will make it more fun for them too. Framing it in terms of “up for deletion” implies you need to answer everything about the world from the start, which is not only inefficient but an impossible standard. Just because you haven’t considered something doesn’t mean it can’t exist.

I would suggest getting rid of either Dragonborn or Tabaxi, since they are just there to give furries something to play as