One thing I've done is come up with a campaign world with all non-standard races. The PC races I have, though, resemble standard races, but they're just different enough that they're seen in different ways.
So, the High Ones are descended from giants and bear a regal presence to the other races.
The Grachens are a steady people seemingly made of stone.
The Amborae are lovely, every last one, growing flowers in their hair and living life ecstatically. Their dark twins, the Entamborae, twist and corrupt the image of beauty into one of obsession and control.
The Cherboncles are three-eyed geniuses with a knack for--well, just about any academic subject.
The Strakhan are a violent, barbarous people who gain their power from the shining stars.
The Wizened are a seemingly wretched race, cold to the touch, and have an innate understanding of death.
The Beastlings have always remained close to the animals, and it remains clear in their forms.
Finally, there are the Low Ones. They are beneath notice. In fact, no one ever seem to recall their passing...
There's enough similarity to the other races for anyone. I've had people who wanted to play dwarves choose a High One instead (to great effect). I've seen suave Grachens, vicious Wizened, Entambor monk-sorcerers, and all sorts of crazy, fun characters--that fit within the campaign world. It breathes new life into the game.
Dude, I'm wanting to start a new campaign...