Just go Viennese.
Well, you could waltz to it, right? (I’ve never waltzed but I can imagine it happening.) I don’t think you could say that about all 6/8 songs?
The Rainbow Connection
Does the original Popeye The Sailor Man as used in the old b/w cartoons qualify as “popular”? The theme was modified to 4/4 for the intro of the color cartoons, but when the can of spinach was opened, the music was played by brass in a fast 3/4 in a kind of fanfare.
Is any music in 3/4 time a waltz by definition, or does the term imply other specifics of style, arrangement, tempo, and so on?
Good call. That’s a beautiful song.
Love Has No Pride (Bonnie Raitt).
House of the Rising Sun is 6/8, but it might work.
“I Put A Spell On You” by Creedence Clearwater Revival.
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Without seeing it in printed sheet music, how do you differentiate 3/4 from 6/8 time signatures? Is it the tempo?
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I have no problem with CCR, but for this song I would put covers by Nina Simone, Screamin’ Jay Hawkins, Bonnie Tyler, and maybe Marilyn Manson ahead. 
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Without seeing it in printed sheet music, how do you differentiate 3/4 from 6/8 time signatures? Is it the tempo?
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In 6/8, you definitely feel two groups of three. It swings back and forth, which is why it works so well for sea shanties.
I think (though my knowledge of music is meager) that all 3/4 time songs are technically waltzes, though some are more difficult than others.
Enya’s China Roses, Flora’s Secret, Caribbean Blue, and Marble Halls are all waltzes.
Also Miss Misery (from the Good Will Hunting soundtrack) and Between the Bars (from Either/Or). They’d be fairly sad music to waltz to, but hey, some days you might swing that way.
“Did you know its actually from the Polovetsian Dance number two, by Borodin?”
Sorry. Late 70s infomercial humor…
“Morning Has Broken”?
I Will Always Love You.
Oh, wait, that’s schmaltz.
Silent Night
The Christmas Waltz
Leonard Cohen, Sisters of Mercy
The Beatles, Good Night
Oliver, Jean
The Sandpipers, Come Saturday Morning
Leo Sayer, When I Need You
Show tunes:
Falling in Love With Love (Pal Joey)
Oh What a Beautiful Morning (Oklahoma!)
A Wonderful Guy (South Pacific)
I Feel Pretty (West Side Story)
Screamin’ Jay Hawkins wrote and first recorded this song in 1956, the cover was by CCR.
Filtering for “waltz” in iTunes…
“Tennessee Waltz” by Hem (popularized by Patti Page)
“Sad Songs and Waltzes” by Cake (originally by Willie Nelson)
“Waltz” by Fiona Apple (AKA “Better Than Fine”)
“Waltzing Back” by The Cranberries
“Take This Waltz” by Leonard Cohen
Oh, and “The Rainbow Connection” is about the clearest, easiest waltz I’ve ever tried to dance to- each guitar note is a single step. Good call!