“Life would be ecstasy, you and me and Leslie” (ok, I guess it’s supposed to be “endlessly”)
I don’t know if you’re referring to that “[beat]” that breaks up the line, but that reminds me of an example. Typically, I actually do like it when lines are enjambed like that (so that it breaks up the typical predictable pattern of a thought or part of thought ending at the end of every musical phrase) but one that always bugged me was from the Paula Abdul hit “Straight Up.”
I don’t know how many of you remember the song, but there’s a pre-chorus that goes :
I’ve been a fool before
Wouldn’t like to get my love
Caught in the slammin’ door
Are you more than hot for me
Or am I a page in your history book?
I don’t mean to make demands
But the word and the deed go hand in hand […]
But the second- and third-to-last lines are melodically and rhythmically divided so it sounds like:
Are you more than hot for me
Or am I a page in your history
book? I don’t mean to make demands […]
It was years and years later that I even realized the word “book” was in there. I just shrugged it off as some non-sensical/percussive vocalization, not an actual lyric, because nowhere else in the song are the verses enjambed like that. (ETA: Actually, re-listening to it, my brain interpreted it as “Look, I don’t mean to make demands.”)
Let’s Duet by Dewey Cox is full of examples, purposefully for comedy effect.
“In my dreams, you’re blowing me.
Some kisses”
Actually, until I read your post, I could have sworn that she indeed sang : “Look, …”
However, I just love how she sings the preceding line, with each syllable bouncing down before nicely landing on the “-ry”. That’s a neat trick, even if it leads to that clunky enjambment.
Does that Pinball Wizard have “subtle wrists” or “supple wrists”?
Although Elton John is a classic mushmouth, I think it’s the tune more than him that distorts
Back to the howling old owl in the woods
Hunting the horny-backed toads
Into whatever the hell it is that he sings on the song. How are those words supposed to fit in to the music playing?
In many cases yes, but sing that one with a northern accent or a Russian accent and it still comes out wrong - it’s the song’s fault.
I don’t think the music could have been fixed to clarify that though.
Heh. That song is packed with such examples isn’t it. Eventually they gave up even pretending, and just wrote “Na na na na na na, na na na na na…” 
I’m not sure if this is because the music distorts the lyrics, or because the lyrics are obscure/weird/unpredictable. Maybe they’re so weird FROM trying to fit the tune. Something definitely went wrong there, yeah.
Those cases are truly weird - far too few notes for the number of syllables. It’s one thing to chop off “The” from the beginning of a sentence, but leaving out half of the words? Why bother writing them.
Speaking of U2, “I Will Follow” has one that perplexed me for years in the days before internet lyrics.
“If you walk away, walk away
I walk away, walk away, I will follow”
Sounds more like:
"If you wokawadadoolay, wokawadadoolay, I will follow."
The words don’t fit the music at all. Couldn’t they just have written different lyrics that fit?
Ignore the prime example, though
It’s too late to
Lose the weight you
Used to need
To throw around
So have a good cry as
You go down, all alone
Dragged down by the stone
Stone … stone … stone …
where the last word morphs into a baying
Mr Carlson: Do I hear dogs?
Johnny Fever: I do.
Oh! I remember now!
WA kuh WAY wuh KUH way, WA kuh WAY wuh KUH way…
A classic perfect example of what I meant.
“Back to howling old Owl in the woods.” 
I don’t know who the singer is, but there’s some pop song right now with the lyrics
*All you gotta do is TAKE
a minute
just TAKE
the time…*
But the autotune is so extreme that it sounds like “All you gotta do is HATE”.
The tune fits the words perfectly in that section - are you saying it sounds like those words are just invented gibberish?
Exhibit Q:
Paul McCartney and Wings, “Live and Let Die.”
“In this ever-changing world in which we live in.”
Just throw an extra preposition in there and call it artistic license, huh? But then, what do you expect from a guy who’s been impersonating the real Paul since 1966… 
Yeah, but the next line sounds like
Hauntin’ the hawny-back TAAAoood!
I love Elton, but he hits notes and cadences in that couplet not heard in 500 years of Modern English.
Or you can just pretend you’re really singing “in this ever-changing world in which we’re livin’,” which I believe is an explanation given by Paul, and I actually bought it for awhile, but after listening to various versions, I do think it sounds like “in which we live in” and not “in which we’re livin’” with a swallowed “r” and dropped “g.”