Ah. A fellow Renaissance fan. Let’s not omit “Ashes are Burning”, “Carpet of the Sun”, and “Ocean Gypsy”.
There should be a mandatory playing of “Live At Carnegie Hall” at least once a month on our oldies station. It being my conference period, I have “Day of the Dreamer” blaring on my stereo right now.
The restrictions placed by the OP mean we can’t suggest Zappa in wholesale lots, but “Valley Girl” needs to be on the list.
XM channels 6 & 7 are a terrific resource for those very seldom played oldies.
Some of my picks:
“Darling be Home Soon”–The Lovin’ Spoonful
“Dandelion”–The Rolling Stones
“You Know My Name”–The Beatles
“Hey Baby”–Ringo Starr
“Jennifer Juniper”–Donovan
“D.W. Washburn”–The Monkees
“Suavecito”–Malo
"Je T’aime (Moi Non Plus)–Serge Gainsbourg and Jane Birkin
“Love Can Make You Happy”–Mercy
“This Song”–George Harrison
Shapes of Things - The Yardbirds
With a Girl Like You - The Troggs
Pretty Flamingo - Manfred Mann
Just One Smile - Dusty Springfield
The Look of Love - Sergio Mendes and Brasil '66
“R-E-S-P-E-C-T” - Aretha Franklin
“You Don’t Own Me” - Lesley Gore
“Cook With Honey” - Judy Collins
“Sweet Woman” - Cris Williamson
“Gypsies, Tramps, and Thieves” - Chèr (remember when she used to sing?)
“Woodstock” - Joni Mitchell
“Tomorrow Never Knows” - Beatles
“21st Century Schizoid Man” - King Crimson
“Guajira” - Santana
“Give Up the Funk (Tear the Roof off the Sucker)” - Funkadelic
“Voodoo Chile” - Jimi Hendrix
“Rolling Stone” - Dr. Hook and the Medicine Show
“Give Me Love (Give me Peace on Earth)” - George Harrison
“Gimme Some Truth” - John Lennon
“It’s All Right, Ma (I’m Only Bleeding)” - Bob Dylan
“The Fountain of Salmacis” - Genesis
“Caravan” - Van Morrison
“Give Ireland Back to the Irish” - Paul McCartney
“Substitute” - The Who
“Heart of the Sunrise” - Yes
“Fingertips Part 2” - Stevie Wonder
I see your Penniman and raise you an Eskwer Reeder.
Let’s talk about FM turntable hits that haven’t gotten airplay in years.
Wind - Circus Maximus
The City - Mark-Almond Band
Gilbert Street - Sweet Thursday
Rapid Transit/Turn Me On - Rotary Connection
Trouble Every Day - Zappa & The Mothers of Invention
Conditional Discharge / Don’t Try to Lay No Boogie-Woogie on the King of Rock-n-Roll - Long John Baldry
Call Me Lightning - The Who
You Can’t Sit Down - The Dovells
Knock On Wood - Eddie Floyd
[QUOTE=Johanna"Give Ireland Back to the Irish" - Paul McCartney
[/QUOTE]
And pair it with National Lampoons version, off of Radio Dinner:
Give Ireland back to the Irish
Give Lapland back to the Lapps
Give China back to the Chinese
And Yoko back to the Japs. 
“Reflections of My Life” - The Marmalade
“Wind Him Up” - Saga
“Voices” - Russ Ballard
Sweet Lorraine - Country Joe and the Fish
When Morning Comes To Morgantown – Joni Mitchell
Night In the City – Joni Mitchell
Wow! Blast from the past!! I haven’t heard that song mentioned in ages.
Slow Ride by Foghat
I Want You to Want Me by Cheap Trick
You Sexy Thing by Hot Chocolate
** Superfly ** by Curtis Mayfield
You Really Got Me by Kinks
Born to be Alive by Patrick Hernandez
make that
Not So Sweet Martha Lorraine 
(I made the same mistake when I tried to buy it in iTunes)
Add to the list
Season of the Witch by Donovan
The Crystal Ship, and Spanish Caravan by the Doors
Heart of Stone and As Tears go By by the Rolling Stones.
Gloria by Van Morrison
Well, that’s kinda the idea. Glad you liked it!
OMG, I loved It’s a Beautiful Day.
Somebody upthread was mentioning instrumentals…I’ve got the following on my playlist:
Cast Your Fate to the Wind - Vince Guaraldi
The In Crowd - Ramsey Lewis
Zorba the Greek - Herb Alpert & the Tijuana Brass
Rise - Herb Alpert
Slave - Rolling Stones (almost an instrumental)
And I was stunned to see a Paul Revere fan, although Indian Reservation makes me gag. I vote for:
(Him or Me) What’s it Gonna Be - Paul Revere & the Raiders
I have to throw in a hearty HiDeHo to:
Ariel by Dean Friedman.
Rock Me Gently by Andy Kim
and add:
Beach Baby by First Class
Just about any hit from Blood Sweat and Tears (Hi De Ho, Spinning Wheel, God Bless The Child, etc.)
20th Century Boy by T-Rex
Out In The Country by Three Dog Night
Skateaway - Dire Straits
Angel of Mercy - ditto
The Girl With Far Away Eyes - The Rolling Stones
Apeman and Come Dancing - The Kinks
Lazy - Deep Purple
Uncle John’s Band - The Grateful Dead
Lawyers in Love - Jackson Browne
Ghost Riders in The Sky - The Outlaws
Slit Skirts - Pete Townsend
Ol’ 55 - The Eagles
Hit Somebody and Roland The Headless Thompson Gunner - Warren Zevon
Stealin’ - Uriah Heep
Wouldn’t you know, I’d forget my favorite instrumental:
Time is Tight by Booker T and the MGs