Thought I'd offer an example of sorts. "When I Jump Off the cliff I'll Think of You" was originally wrote as a bluegrass number (bluegrass songs being all about death, and all), but it got covered by two guys I know--once as rock (of sorts) by a keyboard player hight "The Lone Arranger," and once as electronica by a guy in Cleveland, Jerry Miller (dba zonemusicinc). Here's recordings of all three.

www.soundclick.com/share?songid=6417842 (bluegrass)
www.soundclick.com/share?songid=3442113 (rock)
www.soundclick.com/share?songid=8935359 (electronica)

"Genre," I maintain, is the box the record store is going to put your music in after you've died. Till then, I ain't worrying (and after then, I probably won't worry, either).

Joe