The “U-U-Utah Saints!” song was actually called “Something Good”, if memory serves me correctly, so no points for you morgain.
There’s a great New Zealand rock band that does a melodic tune called “Pacifier”. The band, originally named Shihad, changed their name after a few years 'cause they wanted to have half a chance at cracking the international market (and all you Americans seem to get so damn touchy about that word ) so in a stroke of unimaginative ingenuity they decided to name themselves after one of their previous hits - Pacifier.
Aussie punk outfit Frenzal Rhomb have a song called “Go Frenzal Go”, that sorta fits… (although the song is actually about a racehorse named after the band!)
Speaking of New Zealand bands, there’s a heavy metal/rock ‘band’ called 8 Foot Sativa, who do a song called 8-Foot Sativa, on an album named 8-Foot Sativa.
And just to top it off, they say their own name at least a dozen times.
There is/was the metal-hybrid band Godflesh which started out in the late 80s in Birmingham. Then there is the Japanese noise metal band Zeni Geva who had a song from the early 90s called “Godflesh,” although the lyrics are unintelligible and so far as anyone knows it was either coincidence or they knew the other band existed but that there is no actual connection.
There’s also the case of the Killing Joke song “Love Like Blood” and (later) the goth band with the same name. I’ve never heard anything they’ve done, but the name is good for a song, not a band. Therefore they suck. Prejudice, woooo hoooo!
Oh, and I forgot Renegade Soundwave, who put out a song with the same name. It’s an OK song, but the remix done by Leftfield is many, many times better.
The Get Up Kids are named after a song by one of the members’ former bands, called The Suburban Get Up Kids. His last six bands had all started with the letter ‘s’ and had failed miserably, so they dropped the ‘suburban’.
Australian band The Living End have a song called The Living End (and an album too, I believe).
Powderfinger are named after the Neil Young song of the same title.
Before the Alice Cooper group became Alice Cooper, they were known as The Earwigs, The Spiders and The Nazz. Todd Rundgren was in a band called The Nazz at the same time, but when they started getting attention, Alice Cooper was born. Both bands apparently got their name from The Yardbirds song “The Nazz Are Blue”.
Referencing their earlier band names, Alice Cooper’s first album - Pretties For You (1969) - had the song “Earwigs to Eternity”, while their second album - Easy Action (1970) - had the song “Return of the Spiders”. Muscle of Love (1973) had a song called “Hard Hearted Alice”.
After the original band broke up and Vincent Furnier went solo as Alice Cooper, Michael Bruce, Dennis Dunaway and Neil Smith formed the band Billion Dollar Babies (the same name as Alice Cooper’s 1973 album and song).
In 1980, Alice Cooper released Flush the Fashion, which included a cover of Talk Talk’s “Talk Talk” (previously mentioned on this thread).