Yes, lots and lots of songs are covered, and covered well. I wasn’t thinking of good or bad covers, particularly, but but of iconic songs that are so tied to a particular performer that no one else can really do the song well.
“Lovin’ You (is easy cause you’re beautiful)†by Minnie Ripperton might be another example. Love it or hate it, I think that song belongs to her.
(A local radio show often has a section solely of covers of a single song. It’s great.)