1e, 2e, 3e, 3.5e, 5e, and 5.5e haven't given us language indicating that equality in this regard is a part of the edition. I don't know about 4e.
In Eberron, the Warforged lore is well integrated into the setting themes of modernesque wars among nations. The species is prominent, but not especially numerous. Same goes for the Kalashtar and their role in planar conflicts. Changeling are prominent within the setting emphasis on international intrigue. And so on.
4e Points of Light premised ruins of ancient civilizations for adventures into the darkness. (Compare elven Myth Drannor.) The identities of the Dragonborn and Tiefling were woven out this old glories lore, and contrast their current humbler situations. All of the Elves consolidated into Eladrin (~ Fey High), Elf (~ Material Wood), and Drow (~ Underdark), for the purpose that the entire setting could organize around their contrasting themes. Gnomes were initially deleted because they seemed unable to be prominent enough and not different enough from Dwarf and Halfling.
2e Forgotten Realms presents a number of Elf lineages as player options: Sun, Moon, Wood, Wild, Drow, even Aquatic and Winged. It does a reasonable job of rooting them all within the setting.
5e 24 is intentionally shifting away from "racial" lore, and toward local cultural lore. So the old school lore for Elves, Dwarves, etcetera is still coasting from fansites while the new school lore for Tiefling, Goliath, and Dragonborn feels downplayed in comparison.
I prefer the emphasis in culture rather that race. At the same time, I expect each species to have had diverse cultures, and some of these ancient cultures that are native to a species to survive with some continuity, even if other species have become part of it to some degree.