Examples: “All About Soul” by Billy Joel, “Can I Put You On” by Elton John, “With or Without You” by U2, “Sometimes You Just Can’t Win” by Loretta Lynn
BONUS-when the artist and song title have the same number of syllables.
Examples: “Night and Day” by Mel Torme, “Black and White” by Three Dog Night
What can you come up with?
“Hocus Pocus” by Focus.
“Uma Cura” by Sepultura
The Rolling Stones - Miss Amanda Jones
The Who - Who Are You
And of course, the bonus of all bonuses,
Bad Company - “Bad Company” (the song name is acutally the band’s name VERBATIM)
Steve Perry, “Oh Sherry”.
In the same vein: Prince - “My Name Is Prince”
If you’re going to do this the easy way, you may as well cite “In a Big Country” by Big Country.
These aren’t rhymes though,are they?
Tom Paxton–Crazy John.
Syllables and rhymes
Radiohead - Pop Is Dead
Placebo - Little Mo
In that vein:
“Yellow Balloon” by Yellow Balloon
“Van Dyke Parks” by Van Dyke Parks
“Hey Bo Diddley” by Bo Diddley
Back to more like the OP:
“Media Man” by Flash and the Pan
“Tennessee Jed” by the Grateful Dead
Yeah… And “This Is Radio Clash” by The Clash.
That’s it. You’re on my List now 
Fine, so I don’t have my iPod with me and I’m doing this from memory, so I thought I’d take the low hanging fruit first. And the title has to end with the artist/band name, so it’s not quite so low hanging as it might seem. Plus, I did give two non-identity rhymes as well…
Still, to win back your good graces, how about Brenda Lee - “I’m Sorry”? That’s a syllable count match too!
Yesterday has been covered by Donnie Hathaway, Marvin Gaye, Gordon Macrae, and Liberace.
FUCKING A!!! This is exactly what I came in to post. I remember as a kid thinking that was such a hilarious combination.