Rebel Empire is an EBM / industrial act from Mexico and I haven't been able to find out much more about them than that, but via Electrosound they offer this cover of Front 242's Rhythm of Time.
Here is an interesting Cradle of Filth cover. I like it when artists can really make a song their own like Johnny Cash did with Hurt. Here Lindsay Schoolcraft takes a Cradle of Filth song and makes it sound like something entirely different, but without loosing the feeling.