There are a couple of races that you can make as PCs which I have included here, because they are classically considered an enemy race, such as Githyanki and Drow.
Man, this is not a paladin game, what classic enemy races are you talking about. Any race created in the editor can become an enemy only at the request of the player.
Many play as drow, they have other classic enemies
Throughout the majority of D&D's history, Drow, Duergar, and (especially) Githyanki have been presented solely or primarily as evil monster races. Almost every time they appear in a book, adventure, or even D&D computer game, it's as evil monsters. Drow have been cleaned up and normalized the most, of course, mostly due to the popularity of Drizzt and how many people want to play as Drow. But even so, most Drow in most products are just antagonists.
This is pretty true, if I remember correctly Drow was a monster race in the monster manual for 3.5 & had a level adjustment of +2 to play as one (
level adjustment means you would lose or skip a class level equal to lvl adjustment. This happened because, the racials were more potent than normal races). Actually a lot of the races in 5e that people been asking for are monster races in old editions.
3.5 from lowest level adjustment to highest:Goblin (+0), Orc
Dwarf - Duergar (+1), Lizardfolk,
Aasimar, Tiefling, Bugbear, Hobgoblin, Golieth, & Kenku
Yunati (+2), Triton,
Gith, Centaur,
Elf - Drow, & Minotaur
gnome - deep (+3)Simic Hybrid - Don't know about this, probably close to a template that was in the monster manual, templates were added to races to make half creatures, vamps and werewolves.
Don't know about Tabaxi, Aarakocra,Tortle, Firbolg, Loxodon, & Vedalken