tracks that GENUINELY send shivers down your spine without fail

Funkadelic - Maggot Brain

Great topic. I'm sure I am only echoing a lot of these choices, but:

The Beach Boys -- God Only Knows
Iron & Wine -- Bird Stealing Bread
The Clientele -- Losing Haringey
The Clientele -- Dreams Of Leaving
Chris Bell -- You And Your Sister
Dennis Wilson -- Carry Me Home
Dennis Wilson -- It's Not Too Late
Jimmy Cliff -- Many Rivers To Cross
Grant Hart -- You Don't Have To Tell Me Now
Bruce Springsteen -- One Step Up
Low -- Silver Rider
Miles Davis -- In A Silent Way
Neil Young -- See The Sky About To Rain
Wilco -- Jesus, etc.
William Basinski -- The Disintegration Loop 1.1

. . . among others.

Off the top of my head:
Zombies - Leave Me Be
Badfinger - Baby Blue
Lefty Frizzell - Mom and Dad's Waltz
George Jones - Color of the Blues
Ann Peebles - I Can't Stand the Rain (pretty much the entire album)
Gram Parsons - Streets of Baltimore
Joe Tex - Skip a Rope

It's always higher frequency sounds that do this to me, so it's usually guitar solos or backing strings. Typically a chord change involved too.
And the effect is incredible if I haven't heard the track for a good while. I'd love to know the neuroscience behind it! If somebody could map the parts of my brain that are affected mid-shiver and then artificially/electronically recreate the stimulation, I'd probably collapse, comatose with pleasure.

Isaac Hayes - Walk on By
Think it's the first string swell with chord change.

Pearls Before Swine - Ballad to an Amber Lady

Budgie - Hot as a Docker's Arm Pit (No shit!!)
The long run of notes toward the end of the main solo.

Blue Oyster Cult - Harvester of Eyes
Again, the guitar solo

"An Ending (Ascent)" by Brian Eno. Every. Fucking. Time. I am reduced to an amoeba-like pile of amorphous goo.

anything by O.A.R., bro

the Eno one that does it for me is "Everything Merges with the Night", I feel funny just thinking about it

The live version of 'Silver Springs', when it transitions into the 'Time has cast a spell on you...' section.

The moment in the Scott Walker track on Climate Of Hunter when he sings 'And the ceiling is rising and falling' and the swarm of Evan Parker soprano saxes comes in.

The final section of George Crumb's Music For A Summer Evening

fuller list, off the top of my brain:

Parliment - The Silent Boatman (bagpipes)
Autechre - Silverside (the ending, where you finally get to hear the entire melody)
Soul Coughing - Lazybones (the entire thing is so damn heavy)
Devo - Race of Doom (don't know why. something about the way the synths intersect with the rhythm gets me)
ELP - From the Beginning (everything about it is gorgeous, but especially Emerson's solo in the end)
Faust - No Harm (the scream at the end)
Underworld - Most 'Ospitable (the whole thing)
Underworld - Jumbo ("Telephone breath between us/there are no borders between us/Only these wires")
Happy Mondays - Dennis and Lois ("Honey, how's your breathing/If it stops for good we'll believe it")
Kraftwerk - Neon Lights (the onslaught of shimmering major chords that make up the second half)
Yellow Magic Orchestra - Gradated Gray (great song with an inexplicably creepy atmosphere)
The Books - Getting the Job Done (when the vocals come in)
Can - Oh Yeah (when the rhythm section really kicks in, 2 minutes in)
Gary Numan - Complex (mostly the intro, but really everything)
Neu! - Isi (c'mon, nobody can disagree with this)
Michael Jackson - Stranger in Moscow (already mentioned, but holy cow, this is a monster)
Boredoms - 7 (from VCN - when the guitar chords finally come in, braaang brooong)
Harry Nilsson - Morning Glory Story (gosh the vocals are pretty on this one)
Todd Rundgren - When the Shit Hits the Fan ("I think I have to get my ass back to Sunset Boulevard")

#1 tune along these lines (the one that makes me feel funny the whole time) is here

https://www.youtube.com/watch?v=ph7sHvMYkIk

As we've just had the kinks poll, might as well mention the moment in Shangri-La after the horns do a rall and tando, all grandiose magificience, and Ray comes back: "put on your slippers and sit by the fire..."

kinks - shangri-la (OTM!)
sam cooke - a change is gonna come
manics - 4st 7lb (espec last 30 seconds)
fall - lay of the land (when the song proper finally kicks in)

Cecil Taylor's version of "This Nearly Was Mine."

The Dutchman by Steve Goodman
Boulder to Birmingham by Emmylou Harris
Take Pills by Panda Bear
A Change is Gonna Come by Sam Cooke
Dirty Blvd by Lou Reed
Don't Worry Baby by the Beach Boys
Hot Burrito #1 by the Flying Burrito Brothers
Walk the Way the Wind Blows by Hot Rize