I have been looking for a light to put in my daughter's room that I could put down low, so it couldn't have the whole, exposed bulb/shade thing going on and this looks like it could really fit the bill.

The TykeLight Buddy is a cool light that softly illuminates your baby or child’s room. The TykeLight Buddy is made of soft glow in the dark material and lights up even when taken off the base. (via Baby Gadget)

This cool looking light comes in four great colors - blue, green, yellow, orange - and has no exposed wiring or switches so it's safe for even the littlest hands. It charges on a safe base and then lights up as soon as you pick it up. It gives the perfect amount of light for late at night - not too dim, not too bright. We have the blue one, which my son has named "Blue Man" (catchy, no?), and he goes everywhere with us, day or night. Available at a variety of baby stores, but Amazon has free shipping.