I wasn't referring to your list of artists, Eve.
I was thinking of the beatles and Michael Jackson. (I know that
several of my friends aren't big fans of the beatles, but that's
a group that almost everyone would refer to)
I do hear a lot of comments about Michael Jackson's voice being disturbing).
Those are names I noticed, and that's how people feel
about them in my neighborhood, because so many bar bands cover those
artists, and the same song too. They're versions seem to be liked
more by the bar crowds than the originals, but they're played so
often (songs repeated at the same gig) that the bar crowds started
wanting some variety and bands with original music after a while.

To add to the list of artists who are associated with a specific song, and/or songs associated with a specific artist:
Leadbelly is most associated with:
"Black Girl" also known as "Where Did You Sleep Last
Night" or "In The Pines". (However, the song in modern times is
also most associated with Kurt Cobain.)
Joni Mitchell:
"Big Yellow Taxi"
Bob Dylan:
"Like A Rolling Stone"
(I know he has a crazy voice, but his song lyrics are incredible).
Willie Nelson:
"Blue Eyes Crying In The Rain" or "The Red-Headed Stranger".
Beach Boys:
"California Girls" is probably their most well known song.
The Proclaimers:
500 Miles (I'm Gonna Be).

I hope this doesn't sound too much out of topic:
What if several songs are associated with the same artist,
or that artist is associated with several songs equally?
Could an artist have more than one "signature song".
Such as: Hank Williams with "I'm So Lonesome I Could Cry", "Hey Good Lookin'" and "Your Cheatin' Heart", etc. or Johnny Cash with "Folsom Prison Blues", "I Walk The Line", "Ring Of Fire", "A Boy Named Sue", "Man In Black" of course; and "Hurt".