The Cure "Love Will Tear Us Apart"
I always found The Swans' cover of "Love Will Tear Us Apart" to be a stellar version too. I bought the Love Will Tear Us Apart ep by the Swans when it came out in 1988 and I really love this version. I think it has something to do with Michael Gira's deep vocals.
The Swans "Love Will Tear Us Apart"
Honestly, in my opinion you need some kind of special cred to get away with covering Joy Division. Sadly, Fall Out Boy decided to record their own cover and while FOB might be competent at what THEY do, their cover was so wrong for so many reasons. Brace yourself:
Fall Out Boy "Love Will Tear Us Apart"