Inductive charging is a cool way to show off your DIY skills. Adafruit has a guide to making a very simple little inductive charging night night that doesn't even require soldering.
The process for making the light itself is super-easy and only requires a couple of parts and cables. You'll just need to cut out the enclosure with a CNC, which should be easy enough if you have a local hackerspace you can pop into. If not, you can certainly make your own little case using other household supplies. Head over to Adafruit for the full guide.
Wireless Inductive Power Night Light [Adafruit]