I would like for you to tell us what single song from these four groups best represents them over all.
One song from each group, and it has to be your personal opinion, not something from the interwebs.
“I have to pick one song from this era, and one song from that era…”- No, you don’t.
If you have actually never heard from (or even heard of) any particular group, you can skip them.
The Groups are:
The Rolling Stones
Queen
The Who
The Beatles
- Gimme Shelter
- Somebody to Love
- Baba O’Reilly
- Lucy In the Sky With Diamonds
These are my top of the head, first impulse answers.
19th Nervous Breakdown
Killer Queen
Pinball Wizard
A Day in the Life
The Rolling Stones - I Can’t Get No Satisfaction
Queen -Bohemian Rapsody
The Who - Pinball Wizard
The Beatles - Let It Be
Gimme Shelter
Bohemian Rhapsody
? For now
Sgt Pepper’s Lonely Hearts Club Band
All but Queen straddle the mid-sixties when musicians radically changed their style almost overnight, so I’ll be aiming in the middle for those.
Queen? Easy. Bohemian Rhapsody
The Who? The proto-Tommy A Quick One (While he’s Away)
The Beatles? Hmm. Rain kinda covers the gap
The Rolling Stones? Lots of candidates, but I’ll go with Jumpin’ Jack Flash.
Strictly what popped into my head:
The Rolling Stones
You Can’t Always Get What You Want
Queen
Somebody to Love
The Who
Pinball Wizard
The Beatles
Hey Jude
Extreme distillation from the discography but …
The Rolling Stones - Start Me Up
Queen - We Will Rock You
The Who - Behind Blue Eyes
The Beatles - I Want to Hold Your Hand
The Rolling Stones - Sympathy For The Devil
Queen - Keep Yourself Alive
The Who - The Real Me
The Beatles - (I’m going to cheat on this one…so sue me) The Abbey Road Medley – And if that is totally unacceptable, then Back In The USSR
Crap, I meant Won’t Get Fooled Again for The Who.
Stones- Honky tonk woman
Queen- don’t stop me now
Who-Tommy
Beatles-Ob la di Ob la da
The Stones- Sympathy For The Devil
Queen- Bohemian Rhapsody
The Who- Baba O’Reilly
The Beatles- From Me To You
It’s Honky Tonk Women. Mick had more than one. 
Get Off of My Cloud
Fat Bottomed Girls
I Can See For Miles
Paperback Writer
Gimme Shelter
Tie Your Mother Down
The Real Me
Twist and Shout
The Rolling Stones: Angie
Queen: The Prophet’s Song
The Who: Song is Over
The Beatles: A Day in the Life