Lamp Project With No Ground Wires
You get a usb charger, and wire up the lamp in 5V, going to LEDs. (There are 5V LED bulbs, or you could hardwire them in, depending on the type of lamp you're building.) There is no ground wire, but it's low voltage, so there's no safety issue.

EDIT: 12V is also good; you can use whichever is most convenient.