I believe that’s the “I Feel Like I’m Fixin’ to Die Rag” by Country Joe… do the Woodstock version with the “Fish Cheer”!!!
The Cure’s Boys Don’t Cry.
Queen’s We Will Rock You.
Gang of Four’s Damaged Goods
Good music the kids can dance to.
1955, Chuck Berry recorded Maybelline in Chicago. The white kids in BTTF probably hadn’t heard it yet. Hell, they probably hadn’t heard any Rock & rollers but Pat Boone yet.
So I’d start by playing them some Rock & Roll from just a few years in the future, say Billy Riley’s Red Hot, or Sam the Sham’s Little Red Riding Hood.
I’d bring them slowly into the future with Dick Dale’s California Sun, Then bring in the go-go dancers & light show and blow their straight-laced Midwestern minds with Lord of Acid’s Crab Louse
Bumped.
Just make sure you’ve got a good guitar:
Summer 69 Bryan Adams
Peaceful Easy Feeling Eagles
Yesterday Beatles
Bryan Adams might be too much for 1955. Change the lyrics to 59. More relatable and less suggestive than 69.
Peter Frampton got his Les Paul “Phenix” back after it was thought to be lost in a plane crash and Paul got his Höfner returned after it was stolen in '72, so there’s always hope.
As far as the songs I’d play, Marty showed some serious proto-guitar hero stage moves at the prom, so my choices would be “Eruption”, “Sparks” (Woodstock version) and “Fire” (Hendrix)
I was thinking “Smoke on the Water” for that same reason. Or Maybe “We Didn’t Start the Fire”.
First one I thought of.
“The Homecoming Queen’s Got A Gun”.
I don’t think I will need to play two more songs, do you?
I’d close with “Like a Rolling Stone,” but unplugged just to see if it pisses anyone off.
I’d do that as an encore, but quit halfway through the first verse and say, “I’m sorry, ladies and gentlemen, there’s no reason to do this song here.” I’d then launch into “Radio, Radio.”
We’re going to start with a soulful Joe Cocker
You are so beautiful
Then get them swinging their hips with Aerosmith
Big Ten Inch Record
And finally scare the living shit out of them with NWA
Fuck Tha Police
Nah, they’ll fall asleep w/ that. Wanna scare them?
Democracy Spawns Bad Taste - Crucifucks
Argh Fuck Kill - Dayglo Abortions
John Wayne Was a Nazi - MDC
I mean, as long as we’re digging deep.
The Kids; Lou Reed
Know Your Rights; The Clash
Missippi Goddam; Ninia Simone
Blow their fragile narrow minds.
Fire: Crazy World Of Arthur Brown
Zager And Evans: In The Year 2525
Starship: We Built This City
All big hits that the kids should enjoy.
So many good choices already mentioned.
I’d definitely keep “Johnny B Good”, add “Proud Mary” by CCR and the afore mentioned “Born To Be Wild”.
I’d pick one each from the sixties, seventies, and eighties. Start out with “You Really Got Me”, followed by “Won’t Get Fooled Again” and Dire Straits’ “Telegraph Road”.
Of course they would not have heard “Won’t Get Fooled Again” a jillion times.
Easy one. I’d aim to entertain the students, but confuse the band.
“Under My Wheels” Alice Cooper
“Layla” Derek and the Dominos
“More Than A Feeling” Boston
This one made me 
The guitar licks from:
Cream’s White House
David Gilmour’s Comfortably Numb
Beatle’s Helter Skelter