I'm a big fan of that spray paint that adds a rock type finish to whatever you apply it to. Maybe you could do the white plastic parts in that and find something to do with the actual drawers to accent it. Or do the whole thing in it to make it look different. I'm not completely sure it would stick but an interesting idea. I like to use the paint for bases to paintings and such since it comes in a variety of colors and pretty close to just being a textured white.
I like the idea on the other post about the addition of song or poetry lyrics. Can be really pretty. Maybe just doing it on the drawers? Being the sides of the drawers are exposed, you could do a lot of graffiti type things.