Really, it's your world. It would be best for
you to decide what works best for it. But, I'm feeling generous, so I guess listing a few options I think of couldn't hurt.
Dark Elves (Commonly called The Drow)
Night Elves (It
is an option, but I would recommend adding some original twist to them, or simply being careful on how you portray them. They were featured in WarCraft III, and since then they've started to scream cliché.)
Goblins/Orcs
Centaurs (You don't see many of these, though I don't know why. Centaurs are ... uh ... teh cool. Or however you say 'neat' in chatspeak.)
Kitsunes (I have Kitsunes featured in my books. A lovely little race of teleporting foxes. However, I recommend doing research involving the myth of the Kitsune before writing about them.)
I'm sure I could think of more, but my brain doesn't seem to want to work at this very moment. After a nice cuppa joe, mabye I can offer a few more options...
Some of those would be more classified as beasts... but any five-note logic wielding race I, personally, keep out of the beastiry and classify as a race. I consider animals/beasts to be creatures incapable of logical thought process.
Then, of course, you have faeries, nymphs, nereids, pixies, and similar small magic or nature oriented races. Most don't really classify these into their own individual races, but it couldn't hurt.
Classifying nymphs, faeries, and pixies into individual elements is fun. Like a Fire Faerie, or a Zephyr Pixie; whatever. However, since Neopets started (and ruined) the whole elemental faerie thing, tread carefully.
Damn Neopets.
You have dragons... Personally, my dragons are monstrous and beast-like; however, most seem to consider dragons great matriarchs and lords of wisdom, whom prefer peace over any form of battle. While my dragons would fit more into a beastiry than into a classification of races, others seem to want to classify them differently. So. Dragons.
Making up your own race is always fun. I've conjured seven, myself. Just be careful not to make a God-MODy race, yah yah.
For inspiration purposes, I recommend going
here. It's a mythology encyclopedia, containing an archive of different beasts/etc. from different areas of mythology. It gives some good ideas if you're at loss for creating a race.
Just a suggestion if you plan to create a race. Only make it an anthromorph half-breed race as a last resort. Unless you think of a really original animal that hasn't been tried to death, be careful with your animal half-breeds. I swear if I see another half wolf or half cat person I'll scream. o.o;;
Don't get me wrong, they can be done tastefully. I guess I'm a hypocrite, because I have a half cat person myself. Still, I humbly believe I contain the knowledge to write as one without screaming: "lyk OMG half kitty half human w00t!" ...Anyway.