https://www.youtube.com/playlist?list=PL1CPB-gBhcNVqwY0-fWgIdjnkPeMcfFFE David Bowie narrates Sergei Prokofiev's 'Peter And The Wolf'. The narrator tells a story and the orchestra illustrates by using different instruments to play a "theme" that represents each character in the story.

For modern stories I like The Curse. It's about an archeologist that falls in love with a mummy that comes to life.

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

Dating myself a bit here, but Meatloaf's Paradise By The Dashboard Light, and Billy Joel's Scenes from an Italian Restaurant are 2 that need to be on this list.

Alice's Restaurant by Arlo Gurhtie. Actually, just about anything by Arlo Guthrie and his dad, Woody.
Indian Ira Hayes by Johnny Cash. It's not very long, but a poignant story that shouldn't be forgotten.

Duck I, II, III by Zach Sherwin

This is a pretty epic story telling song by a dude called Ren.

The Tale of Jenny & Screetch and Violet

Most of Coheed and Cambria's albums follow along with a graphic novel written by Claudio, the lead singer. I've never read them and don't know the story, but if you listen to an album start to finish, you can tell that it's more than just lyrics.

A bunch of stuff in the classical realm fits that bill, holst's the planets, a bunch of operas some with words some without many in other languages you wouldn't understand. One modern song with words that I want to be in these comments is Albuquerque by weird Al. I'll also mention Maggot brain by funkadelic

Arlo Guthree's Alice's Restaurant has you covered. I play it every Thanksgiving.

City Hall by Tenacious D

Iron Maiden - Empire of the Clouds

Iced Earth's debut album was called Night of the Stormrider. It weaves a pretty dark tale of a mans betrayal by religion, subsequent turn to the dark side and final regrets over the course of nine tracks (46 minutes).

Queensryche's (arguably) best album Operation: Mindcrime. It tells the tale of a young malcontent who becomes involved in an underground revolution as an assassin. This is another that is not just one song, but a story that spans fifteen tracks. One of the best rock operas that was ever pulled off in my opinion.

Manowar's album The Triumph Of Steel has a first track called Achilles, Agony and Ecstasy in Eight Parts. It is essentially a telling of the tale of Hector and Achilles. It's nearly 30 minutes over the eight unique sounding parts.

Ice Nine Kills has now (2) entire albums with tracks inspired by horror movies, but I wouldn't call them long. Their song Meat & Greet would be a great example. It's a retelling of "The Silence of the Lambs".

Animals Without Leaders has a song called CAFO that I just adore. Its pretty long and although it speaks no tale, it's so sonically unique that it feels like it does. Some of those ultra technical metal bands feel like that (to me at least).

Wreck of the Edmund Fitzgerald

The whole album Days of Future's Past by the Moody Blues (with the London orchestra)

I don't know about without words (and only slight repetition for effect), but I really like The Mariner's Revenge by The Decemberists.

If you want to get into older music, Der Erlkonig by Shubert is a good one.

The Decline - NoFX

https://youtu.be/oWhy8PCuGsk

2112 by Rush

Jesus of Suburbia by Green Day

And almost anything by The Mars Volta

the repeat itself part is a bit tough with music. music is sorta a repeating sequence of notes and usually even the most complex will have some sorta of repeating element. That being said the band jethro tull has many songs that are story and two are album length. Pretty much all of them have at least a significant meaning but most are basically stories. The one that I think would most meet your criteria is passion play https://www.youtube.com/watch?v=0XrlWumWbUU&t=241s&pp=ygUMcGFzc2lvbiBwbGF5 side one and https://www.youtube.com/watch?v=FUyIhIhf3A4&pp=ygUMcGFzc2lvbiBwbGF5 being its from the days of records they needed a way of linking the two sides. Curiously in this one did it with a unrealted story that just sorta starts getting told in the middle of the song. You may not like that. Its other album length song, thick as a brick https://www.youtube.com/watch?v=ldXdnZtTWp8&pp=ygUQdGhpY2sgYXMgYSBicmljaw%3D%3D https://www.youtube.com/watch?v=GTWQv8RsI6s&pp=ygUQdGhpY2sgYXMgYSBicmljaw%3D%3D , is a story but its not as straight forward and more flowery being a bit more about life and society and the struggles of the individual. Its transition is really neat as the music blends with this wind sound which fades and then starts back up on side B. Its a great transition. If I get some time I will do a list of some other songs along with the idea of the story but they are not super long although most of their songs are not exactly short.

there is a hindi song which is sorta long (5 mins without music, 6 with) - Breathless (not really breathless, but full song done in just 16 breaths(that is roughly 3 per minute), but almost none are easily audible) - it is a romance story - meetup - love blossom - heart break - life ruined - reunion - together forever. The lyricist is one of the best hindi/urdu lyricist, maybe among the best in the world

also there are many old classical concerts (for example - beethoven) which are music only and at times were in conjunction with plays or dramas going through stories

Avenged Sevenfold - Exist is a 15 minute song that is about the big bang all the way to Earth forming and cooling.

American Pie - Don McLean it's the history of rock and roll from the 50s through the 60s

I figured there'd be plenty of mentions of Rush's 2112, but they have a lot of other songs that fit the bill too. The Necromancer, Fountain of Lamneth, Xanadu, Natural Science (well I guess that's more of a rant than a story), Cygnes X-1 books 1 and 2. Since you say maybe without words, La Villa Strangiato.

If you want to stick to classic prog then Yes has some songs that fit the bill too like America and Harold Land. I confess to not really understanding the lyrics of most of the rest of Yes's discography, they can be really poetic, but I think the whole Closer to the Edge album fits on it's musicality alone. The title track's a freaking journey.

Led Zeppelin has a few of these too, though musically they are a little repetitive. Achilles Last Stand, Battle of Evermore, Gallows Pole.

The Wall and American Idiot always springs to mind when I think of story albums.

If you like jazz piano, Keith Jarret’s köln concert is a masterpiece.

There were a bunch of issues with the venue and he ended up playing the whole thing on a broken piano.

This video sums up how the peice happened.

And this is recording

Edit: I like to think it’s a story of stacked disasters and a master artist somehow making the whole mess gorgeous.

The Phant albums together tell a story, the first 4 albums were even bundled with short novels.

https://youtube.com/watch?v=Td4LPufa620

Swans - Bring The Sun/Toussaint L'Ouverture

It's 34 minutes but it's kind of 2 songs. It has lyrics but they're more of a vibe than actual coherent thoughts. The first half is like a slowly swelling religious fervor/extacy with a great climax. If I were ever to join a doomsday cult and we all go crazy and kill ourselves, we would do it to that song. The second half is expressing feelings of disgust during moments lost in thought while plotting revolution.

Mastodon's Crack the Skye tells a story about Astral Travel and weaves in references to Rasputin

https://www.heavyblogisheavy.com/2016/02/15/prognotes-mastodons-crack-the-skye-part-i/

Fat Cats, Bigga Fish tells a story about the broader effects of class struggle

https://m.youtube.com/watch?v=pios2RY2G_Q

Buenas trades Amigos by Ween

Now playing AIR - All I Need

It's not long, but I really like the feel of Whole World Knows by Adia Victoria. It's about a girl with a secret drug problem (that the whole world knows about) as she spirals out of control. The symbolism is heavy, the syrongly religious family can't or doesn't help and it's a catchy tune.

Badger Badger Mushroom

2112 by Rush

Interstellar 55555

Doesn’t a song have words by definition?

If you’re looking for musical compositions, I’d say Schubert’s Death and the Maiden quintet or Grieg’s In the Hall of the Mountain King.

• Achilles, Agony and Ecstasy in Eight Parts by Manowar
• Rime of the Ancient Mariner by Iron Maiden

Give a listen to "Music inspired by the snowgoose" by camel.

They were a psychedelic /progressive rock band from the UK who wanted to write an album based on a short story called The snowgoose. The author wasn't a fan, unbelievably, so they scratched the lyrics and added "music inspired by" to the album title. The whole album is a journey that I can't recommend enough!

Vivaldi's Four Seasons.

Metallica's

• To Live Is To Die.

• Orion

Slick Rick - Adults Only

EDIT: I haven't had coffee and missed the "without words" part. Sorry, but enjoy regardless.

Anything from Yorushika

For comedy, Better Midler's Otto Titsling tells an urban legend about how the bra was invented and it's freaking hilarious, with great singing.

If you want something more powerful but emotional, Linkin Park's album, 1000 Suns, if you listen to it, in order, tells the horror of the atomic bomb in a way that feels like your just listening to awesome rock music. Follow that up with the song Mike Shinoda; the rapper/musican/writer from Linkin Park; made called Kenji and it paints a dark story about how his own family was locked inside US concentration camps, during WWII, just because they were Japanese. Family/Friends died in that camp... and those that got out found their houses destroyed and graffitied by racists. It's really powerful and shows a side of the band that most people don't know.