Coil - Tainted Love
They made it a song about AIDS, and donated all the proceeds to charity. Also, the
video largely consists of Marc Almond pouring honey over flies! Great stuff.
Sol Invictus - Death of the West
This was originally done by Death in June, though Wakeford wrote it, I think. Sol's version is slightly re-arranged and re-worded, and Wakeford always sounded better spouting the directly political stuff, whereas Douglas P should stick firmly to the cryptic gay crypto-fascist stuff we love him for.
Current 93 - Summer of Love
Originally Blue Oyster Cult. Current 93 improved this by making it sound totally deranged. There are various versions, and one quite crappy video made from live footage/recording spliced together with clips of the Wicker Man. I think it's from 'Since Yesterday: A Peek Into the Pit'.
And a whole slew of Laibach covers, particularly:
Laibach - Jesus Christ Superstar
Laibach - Life is Life
Laibach - War