I actually liked the bathroom fixture that was in the hall bathroom-- except for its brushed nickel color, as we're putting bronze hardware in there (there's an identical one in the master suite bathroom, but it'll be replaced as we're going with a more contemporary/geometric look for hardware there).
So I decided to try painting it.
Here's the lamp apart, on the floor. (Yeah, there's only 8 fixture screws. We got a scare later when we thought we lost one). After taping up the sockets to avoid paint getting in them, and scuffing the glossy coating with steel wool to make sure paint would bond to it, the fixture was sprayed with black primer, and then a layer of Kryolon copper paint.
It was finally finished off with Rustoleum's Oil Rubbed Bronze paint, which I recommend with a caveat-- the color's pretty nice, but the can has a weird trigger mechanism that takes some getting used to. A couple of early sprays ended up with droplets splatting on the surface, though Dan didn't think it was a problem. I had intended for more of the copper to show up under the surface, but the spray gave very good coverage. In some areas, lightly scuffing the fixture with a fine sanding sponge brought out the copper (the trick wasn't scraping too much or else it would just show bare metal).
Finally, everything was put back together, including a painted replacement for the missing fixture screw.
I think it came out pretty well. The trick'll be getting it back on the wall now...