Spoken hits that aren't Rap.

Tom Waits- Christmas Card from a Hooker in Minneapolis, Neko Case cover

Nope. The title is officially “Rapture”(w/ the italics) to highlight the rapping that is in the song.

Don’t know if it was ever a “hit”, but this one is pretty famous amongst the nerd circuit: William Shatner - Rocket Man

I might’ve missed their mentions earlier in the thread, but Charlie Daniels had several hits that fit the bill, including:

Devil Went Down to Georgia
The Legend of Wooley Swamp
Uneasy Rider

… aaaand now I see that X.L. Lent beat me to Uneasy Rider.

Here’s a REAL doozy:
Think - “Once You Understand”

It was SORT OF a hit, and it was SORT OF a song. Be sure to stick around through the part that begins at 3:15 in the linked video.

Lord Buckley. “The Nazz [Christ] had them pretty eyes, he wanted everybody to see through his eyes so they could see how pretty it was . . .”

Atlantis by Donovan
The beginning is spoken

https://www.youtube.com/watch?v=leI7sfmipuI

If we’re going in that direction, then mention should probably be made of Ken Nordine. (Who, by the way, was born in 1920 and is still hosting a weekly radio show.)