There's not a lot published in 5e (relative to 2, 3, 3.5, 4), nor is there planned to be. However, there are playable races published by WotC scattered around in a few different locations that people may not even know about. What are all the playable races, and where can one find each?
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Monster Manual, Hoard of the Dragon Queen, Rise of Tiamat, Tyranny of Dragons Player's Guide, Out of the Abyss, Rage of Demons Player's Guide, and Curse of Strahd all do not provide playable races.
Disclaimer: As always, consult your DM before playing one of these races: these races may not be for all players. Stop playing a race if you're not having fun doing so. Neither Wizards of the Coast nor RPG.SE are responsible for anything you do while playing one of these races. Please roll responsibly.