While in no way, shape or form would anyone consider Apocalyptica a "Metallica cover band", they have easily recorded the largest amount of Metallica's music in a way that honors the original, in some ways improves on the originals and makes Metallica's music their own.
I found a clip of Apocalyptica performing "Fight Fire With Fire" live. Apocalyptica has since become as famous (if not more so) for performing more of their own material, even breaking into the mainstream a little with the song "I'm Not Jesus" featuring Corey Taylor of Slipknot.
The version below is instrumental only as Apocalyptica is primarily an instrumental string quartet. Yes, a string quartet. Here are the lyrics