Radiohead have a live piano version of Like Spinning Plates that you can recognise side-by-side but probably wouldn't be able to tell is the same otherwise.

https://www.youtube.com/watch?v=rYzIksH67hA

https://www.youtube.com/watch?v=LnIHVvEwbLk

It's impressive how much a song can shift from its underlying chords and retain the same vibe.