DnD, especially 3.5, has introduced so many playable races, and so many of them fill niches in settings better than the endless rearranging permutations of the neotolkein classical fantasy races, that I prefer to play with only the non-standards. I'm currently running a not-middle-east to not-far-east game (Derived from ancient arabic mythology, hindu mythology, and african mythologies.)
Playable Races: Human, Asherati, Changelings, Darfellans, Dromites, Goliaths, Half-Giants (Mechanically, renamed to 'Ogres'), Kobolds, Krynnish Minotaurs, Lizardfolk (Replace swim speed with climb speed and remove ability to hold breath under water), Shifters, Uldra, Xeph, Yuan-Ti (mechanically. Renamed to 'Nagas').
Asherati and Nagas take the place of 'high elves'. The ancient Old Races who have fallen into decline and whose ruins dot the land.
Lizardfolk take the place of 'wild elves', as the strange wilderness-dwellers who dislike 'civilized' life and outsiders trespassing.
Kobolds replace goblins as the 'would-be-civilized-if-they-got-their-heads-out-of-their-asses diminutive savages'
Shifters and Ogres replace 'orcs' as the 'brutal and dangerous wilderness-dwellers and rampaging hordes'
Darfellans and Goliaths replace dwarves as the 'Staunch traditionalists with strong civilizations who have their own problems and want you to sod off out of their inaccessible homes'
Dromites replace halflings as the 'I want to play a diminutive underdog race!' fodder
Uldra replace Gnomes as the shorter, more magical dwarves that nobody takes seriously.
Changelings and Minotaurs replace Half-orcs as the 'I want to play a totally good-aligned and civilized member of the scary savage race!' option.
Xephs replace Half-Elves as the 'I want to play the eternal outsider who gets to piss and moan about not being accepted anywhere' option.
I've actually managed to flesh each of these races out into respectable cultures all their own, with no pre-existing baggage from other media.