I mean, in the books released so far (i.e. Core rulebooks, Volo's Guide, SCAG, and the various hardcover adventure books and associated PDFs). Not a list of the traits, so much as a list of the races and in which book the PC or NPC race can be found (i.e. Gnolls received NPC racial adjustments in the DMG).
Races legal in Adventurers League play:
Aasimar: Protector, Scourge, Fallen (DMG (base only), VOLO)
Deep Gnome/Svirfneblin (EE, SCAG)
Dragonborn (SRD, PHB)
Dwarf: Mountain or Hill (PBR, SRD only Hill, PHB)
Dwarf: Duergar (SCAG)
Elf: High, Wood, or Drow (PBR, SRD only High, PHB)
Firbolg (VOLO)
Genasi (PotA, EE)
Gnome (SRD, PHB)
Goblin (VOLO)
Goliath (EE, VOLO)
Halfling: Lightfoot or Stout (PBR, SRD only Lightfoot, PHB)
Halfling: Ghostwise (SCAG)
Half-Elf (SRD, PHB)
Half-Elf: Variant (SCAG)
Half-Orc (SRD, PHB)
Hobgoblin (VOLO)
Human: standard or variant (PBR, SRD only standard, PHB)
Kenku (VOLO)
Kobold (VOLO)
Lizardfolk (VOLO)
Orc (VOLO)
Tabaxi (VOLO)
Tiefling (SRD, PHB)
Tiefling: Variant (other than Winged) (SCAG)
Triton (VOLO)
Yuan-Ti Pureblood (VOLO)
All races published by WotC:
All of the above, plus:
Aarakocra (EE)
Aetherborn (PS:KLD)
Anthropomorphic Mice (DMG)
Aven: Ibis-Headed, Hawk-Headed (PS:AKH)
Changeling: (UA: "Eberron")
Dwarf (PS:KLD)
Elf: Eladrin (DMG)
Elf: Tajuru, Joraga, Mul daya (PS:ZEN)
Elf: Bishtahar and Tirahar, Vahadar (PS:KLD)
Goblin (ZEN)
Human: standard or variant (PBR, SRD only standard, PHB, PS:ZEN, PS:KLD, PS:AKH)
Human: Gavony, Kessig, Nephalia, Stensia (PS:INN)
Khenra (PS:AKH)
Kor (PS:ZEN)
Merfolk (PS:ZEN)
Minotaur (UA: "Waterborne Adventures")
Minotaur (PS:AKH) Naga (PS:AKH)
Revenant (UA: "Gothic Heroes")
Shifter: (UA: "Eberron")
Tiefling: Winged Variant (SCAG)
Tiefling: Infernal and Abyssal variants (UA: "That Old Black Magic")
Vampire (PS:ZEN)
Vedalken (PS:KLD)
Warforged: (UA: "Eberron")
Source:
https://rpg.stackexchange.com/questions/77247/what-are-the-playable-dd-races-in-5e