Edit: added the tag RemixChallenge even though neither of the source items are in the challenge collection, because I put a bunch of good work into this remix, and the stuff in the challenge collection doesn't interest me. I did read the rules, unlike a bunch of the other remixes in the challenge. ;)
I printed out the Christmas story leg lamp (http://www.thingiverse.com/make:268173) with the revised shade (http://www.thingiverse.com/make:268181) for a coworker. Another coworker saw it and loved it, but wanted to convert his to have an LED light inside of it vs. just adding a tea light. I had the idea to print the leg portion with a 0% infill (hollow) so he could run wiring up through the leg, but discovered that the original lamp base has the foot intact - with toes - so that was a complication. Also, the original base was far too small for the electronics that we had planned, so I worked on the base, cutting out the hidden stuff, then stitching it back together. I modeled a new base and added that on, and was able to print it hollow.
For the shade, since we didn't need access for a tea lamp, I took the revised lamp shade, cut it in half and mirrored it. Buncha cleanup later and we have a fully intact lampshade.
Print the base in whatever color you wish, but print the shade in a transparent filament so it glows nicely.
For the assembled version, we used a 10mm high intensity diffuse gumdrop LED. Battery was a CR2032 in the base, and a switch was installed in the side. More detail photos to follow.
Update: Check out this remix by jetpuf for some nice improvements on the design, including provision for the LEDs!
Printed hollow for ease of running wires through the leg. Supports are necessary as the base is hollow.