I think no-one has been vocal about Tabaxi, Tortles, etc., so far is because they appear in official books that aren't the PHb, and we don't yet have even all of the PHb races.
I absolutely want to see all of our regular race options supported in game - bu there are a lot, and Larian have already said and demonstrated that the potential work-load is very much more than they anticipated.
Dragonborn (Missing but presumed coming)
Dwarf (Present)
Elf (Present)
Gnome (Missing but presumed coming)
Half-Elf (Present)
Halfling (Present)
Half-Orc (Missing, no evidence yet)
Human (Present)
Tiefling (Present)
After that, the more common player races (and more commonly socially accepted) from other books include:
Tabaxi (VGtM)
Goliath (EE)
Aasimar (VGtM)
Genasi (EE)
Firbolg (VGtM)
Aarakocra (EE)
Tortle (TP)
Lizardfolk (VGtM)
Kobold (VGtM)
Trioton (VGtM)
Satyr (MOoT)
Cases which are rarer requests and choices or who are often much harder to slide into social situations, but still officially playable races include:
Yuan-ti Pureblood (VGtM)
Minotaur (GGtR)
Loxodon (GGtR)
Leonin (MOoT)
Gith (MToF) (Present!)
Kenku (VGtM)
Orc (VGtM)
Hobgoblin (VGtM)
Goblin (VGtM)
Bugbear (VGtM)
Centaur (GGtR)
Locatha (LR)
Grung (OGA)
Others which are not really setting-agnostic (but often are transposed at player request), and from other realm-spaces still within the official realms-lore:
Warforged (E:RftLW)
Changeling (E:RftLW)
Kalashtar (E:RftLW)
Shifter (E:RftLW)
Simic Hybrid (GGtR)
Vedalken (GGtR)
That's a lot of playable races. It's hard to say how many will be within Larian's scope, but at this stage, cross your fingers for the PHb at least.
As greedy as it would be to say this, I would love to see all (faerun compatible) implemented. Heck, I would love to see one companion of each in the game (non origin) BUT I know that is not realistic and that the scope of such a request would have to be greatly reduced.
Currently we are missing the githzerai but uh there are some listed that likely can and should be left out, notable Simic Hybrid, Vedalken, Verdan, and Leonin should not be included purely cause I think they are completely not canon to Faerun? Shifters, Warforged, Kalashtar, and Changelings are canon I think but very very uncommon? Satyr, Centaur, and Minotaur would likely not be implemented purely cause they stray a bit too far, even if I'd love to see them implemented, but I'd argue the rest are completely fair game.
Speaking of fair game and continuing the joking from before, all of them definitely sound good as romance options. Especially the Kenku cause you will know he is an attentive listener and therefor good boyfriend.