Thanks for starting this, I was thinking about this, but never got to it
I'm not going to claim these are better, just different
Lorde Everybody wants to rule the world Tears for Fears Note that since this isn't on Tidal, I haven't heard it on my main system yet, heard it when my kid was playing it with Spotify. But it seemed worth checking out.
Eva Cassidy Fields of Gold Sting Agree with Rob about Eva, but this one in particular works for me.
London Grammar Devil Inside INXS
Wicked Game Gemma Hayes Chris Isaak I really like the original, but recently found this cover that I've been listening to
My selection is biased towards my preference for jazzy female vocals. I have a bunch more courtesy of Tidal, but that's a start.