Spanish Moon by Little Feat.
Alone Again Or by Love has a tasty trumpet solo.
Speaking of Earth, Wind & Fire – “September” is one of my all-time favorite songs.
+1
Brian Setzer is my all-time favorite “big band,” and the way he inludes the brass alongside his electric guitar work is fantastic.
Tripler
I wish I’d seen him in Albuquerque last year.
Blood, Sweat & Tears, most stuff.
Several Van Morrison songs/albums.
Do the horn players (and the sax cats are reed players – but I assume they count) have to actually play more than one repeated riff, or can they just do highly choreographed dances and stagecraft performances with them? If dancing like a marching band flag team counts, from Steubenville, Ohio:
(Speaking of Steubenville, Rob Parissi is a huge fan of another Italian American singer from that town, Dino Crocetti whom he calls “the man” and Elvis called the king of cool.)
My comedic answers include:
Chuck Mangione, Herb Alpert, Louis Prima, Doc Severinsen, well you get the idea.
What about “country” with a prominent brass section? I have country in quotes because my choice would be Sturgill Simpson, and while he may have started country, he’s probably more in the pop and rock section now. His album, A Sailor’s Guide to Earth, has many brass parts and his tour in support of the album had them. I saw him in Seattle and he closed with Call to Arms. When the full band was rip-roaring, it was a sight to behold. Here was his performance on SNL:
Fine sax and flugelhorn interplay here with Earthworks.
Surprised no one has mentioned “Ring of Fire.”
I would say that I’m ashamed of myself for forgetting another of my favorite songs, but my brain has it firmly classified as “country,” not rock or pop (much less jazz), so it didn’t fit the OP for me. 
“Dives and Lazarus” - June Tabor/The Oyster Band
Oh good golly Country’s good to go now.
What was the number?
/nitpick/ Bad descriptor in my previous post using the word “interplay” between those two Earthworks horn players - not quite the right word, because they’re bascially doubling each other. /nitpick/ Tight, though. Seen’em live, and cool seeing Django Bates switching from keys to various horns in every song.
Oh and that old bum on drums. 
Just remembered this one, too.
Hurricane Season, Trombone Shorty; it doesn’t get much tighter:
Except maybe for James Brown:
I came in to post the Godfather of Soul. You can toss a dart blindfolded at a list of his songs and hit one with killer horns. His horn section even recorded separately as the J.B.'s
Just a bunch of Nashville session guys who are wrapped a little tight.
Here Come The Mummies “Ra Ra Ra” - YouTube.webloc (96 Bytes)
Here Come The Mummies - Do You Believe - YouTube.webloc (96 Bytes)
How about a band that’s almost nothing BUT brass?
Chase. Front man Bill chase died early… but not until I’d gotten to see them in a tiny school gym in Hillsdale, MI (hey, never said they were popular…).
And their version of " Handbags And Gladrags" is fun…
CCS were very well known for their brass section - this is one of their better known ones - play it loud - it rocks, and swings.
The BST song that comes to mind is You Made Me So Very Happy. I hadn’t heard the song in years until this year and I remembered the horn section being slightly “sweeter” and not sharp, clear and up front. But in reality, it’s perfect, being inspired but not in thrall to the sweet jazz influence in vogue in the late 60s. Not that I hate sweet swing/jazz, it would have been perfect in the chorus and you can hear its influence throughout, but the sharpness and prominence definitely works on the verses.
