That cover of War Pigs is something else. I had backtracked into Dresden Dolls after discovering Amanda Palmer. A new DD album should be a wonder, after all this time.
Speaking of unique covers, do you know the Swedish lounge-metal (not a typo) group Hellsongs? They have a cover by the band itself: https://youtu.be/G7uwqSxsYWo
And a live recording with members of the Gothenburg Symphony Orchestra: https://youtu.be/_x175A9kw5k
And a live performance video with just a guitarist and vocalist (and a long spoken introduction): https://youtu.be/2fwF0UiSp5c (simple but showcases the strengths of the original)