Uranium glass isn't radioactive enough to be dangerous, but it still has the unique ability to glow under the black light. WebEcoist has a fascinating article showing a variety of uranium glass creations for your viewing pleasure.
I love this stuff, too. If you've ever seen someone carry a hand-held black light into an antique store, they are looking for uranium glass. They use the light to see if its the real thing or a colored knockoff.