That reminds me frog, they did an album almost entirely of covers back in 2004.
Some really interesting versions on there.
https://www.youtube.com/playlist?lis...iJGZvc5lp0NcKO
Still listen to it regularly.
Johnny Cash did a few covers of contemporary songs on his last few albums
Personal Jesus, Hurts and One, all of which I really liked
But my all time favourite is something I never realised was a cover until a few years ago which is The Animals version of House of the Rising Sun.
Turns out there's absolutely loads of versions of that.