Shaving Cream (hey, it was a hit in 1975)
I can Dance - Leo Sayers
That’s the way I Always Heard it Should be - Carly Simon
Candle in the Wind - Elton John
WASP (Texas Radio and the Big Beat)- The Doors
Dick - soundtrack
Tie Your Mother Down - Queen
Got to Give It Up - Marvin Gaye
Why Can’t We Live Together - Timmy Thomas
Pink Moon - Nick Drake
One Piece at a Time - Johnny Cash
Happy - Rolling Stones
Tired of Being Alone - Al Green
Diamond Girl - Seals & Croft
Summer Breeze - Seals & Croft
Jane - Jefferson Starship
Take It to the Limit - The Eagles
Baker Street - Gerry Rafferty
Days Gone Down - Gerry Rafferty
Tusk - Fleetwood Mac
Car Wash - Rose Royce
Dim All the Lights - Donna Summer
Born to be alive - Patrick Hernandez
Escape - Rupert Holmes
More than a Feeling - Boston
Needle and Spoon - Savoy Brown
Amerita/Sense of Direction - Climax Blues Band
Clap for the Wolfman - The Guess Who
Evil Grows - The Poppy family
Hair of the Dog - Nazareth
Blue Suede - Hooked on a Feeling
Lobo - Me and You and a Dog Named Boo (I’m not proud that this is on my list)
Arlo Guthrie - City of New Orleans
Cat Stevens - Wild World
Billy Joel - Honesty
Elton John - Good Bye Yellow Brick Road
Edison Lighthouse-Love Grows Where My Rosemary Goes
Harry Nilsson-Me And My Arrow
Jigsaw - Sky High
Mama Cass-New World Coming
Vanity Faire - Early in the Morning
(I’m in a mellow, bubble-gummy sort of mood. What can I say? 
)
“Scarlet Begonias” - Grateful Dead
“The Night They Drove Old Dixie Down” - Joan Baez
“Video Killed the Radio Star” (often considered “80s”, but really released in 1977)
“Wuthering Heights” - Kate Bush
“The Water Song” - Hot Tuna
“If You’re Ready (Come Go With Me)” - the Staple Singers
“Watermelon Man” - Herbie Hancock
“Milk Train” - Jefferson Airplane
“Country Roads (Take Me Home)” - John Denver
“Piss Factory” - Patti Smith
“Carpet Crawlers” - Genesis
“Matty Groves” - Fairport Convention
“Golden Years” - David Bowie
“Up the Ladder to the Roof” - the (Diana Ross-less) Supremes
Dark Side Of The Moon - Pink Floyd
One for each year of the decade, in order from '70 through '79:
Deep Purple - Black Night
Carole King - So Far Away
Todd Rundgren - Couldn’t I Just Tell You
Led Zeppelin - The Rain Song
Joni Mitchell - Free Man in Paris
Sparks - Looks, Looks Looks
Parliament - Do That Stuff
Eddie and the Hot Rods - Do Anything You Wanna Do
The Only Ones - Another Girl, Another Planet
Blondie - Union City Blue
As - Stevie Wonder
Close to You - The Carpenters
Long Train Running - Doobie Brothers
Neither One of Us - Gladys Knight and the Pips
Fame - David Bowie
That’s the Way of the World - Earth, Wind & Fire
I Saw the Light - Todd Rundgren
Fire and Rain - James Taylor
Annie’s Song - John Denver
Everything is Beautiful - Ray Stevens
ABC - Jackson 5
“It’s Magic” - Pilot
“Foreplay/Long Time” - Boston
“Long Distance Runaround” - Yes
“Fountains” - Starcastle (hey, the OP didn’t say it had to be a hit!)
“Plexiglass Toilet Choir” - Styx (ditto 
)
“Sir Duke” - Stevie Wonder
“Closer To The Heart” and “Circumstances” - Rush
“Feels Like The First Time” - Foreigner
“Dreamboat Annie” - Heart
“Brass In Pocket” - Pretenders (I think it came out in 1979)
“Love Comes In Spurts” - Richard Hell and the Voidoids
“Because The Night” - Patti Smith
“Children of the Sun” - Billy Thorpe
“The Wall” - Kansas
“Lights” - Journey
“Golden Country” - REO Speedwagon
“Kashmir” - Led Zeppelin
etc.
“Don’t It Make My Brown Eyes Blue” (Crystal Gayle)
“52 Girls” (the B-52s)
“St. Charles” (Jefferson Starship)
“Born to Run” (Bruce Springsteen)
“Rip Her to Shreds” (Blondie)
“Trent Town Rock” (Bob Marley & the Wailers)
“Sweet Transvestite” (the Rocky Horror Picture Show)
Inside Outside Upside Down (Josie & the Pussycats)
And of course, the B-52’s “Rock Lobster”! 
Can we do more than one list?
Kiss You All Over - Exile
Locomotive Breath - Jethro Tull
Feel Like Making Love - Bad Company
- You Ain’t Seen Nothing Yet* - BTO
The Wreck of the Edmund Fitzgerald - Gordon Lightfoot
I’m Your Captain - Grand Funk Railroad
So Into You - Atlanta Rhythm Section
More Than a Feeling - Boston
Cosmic Wheels - Donovan
Dream Weaver - Gary Knight
N.I.B. - Black Sabbath
Sure, you can randomly post more than once!
I love remembering all this music, but it sure makes me feel old 
Thirteen- Big Star
Strawberry Letter 23- Shuggie Otis
Joe’s garage- Frank Zappa
Walk On The Wild Side- Lou Reed
My Sharona- The Knack
Vehicle- The Ides Of March
I Wish - Stevie Wonder
Spaceship Superstar - Prism
Living In The Past - Jethro Tull
Driver’s Seat - Sniff ‘n’ The Tears
Hold On - Triumph
Hold On - Ian Gomm
(Both songs were briefly in the Top 40 at the same time)
Black Water - Doobie Brothers
OK, here’s my second stab at a random list (with 40% more solo Beatles!):
Cool Change - Little River Band
Blue Morning, Blue Day - Foreigner
Long Cool Woman in a Black Dress - The Hollies
Lido Shuffle - Boz Scaggs
Ride Captain Ride - Blues Image
Count on Me - Jefferson Starship
I Don’t Like Mondays - Boomtown Rats
You Nearly Did Me In - Ian Hunter (with Queen)
Heard It in a Love Song - Marshall Tucker Band
Give a Little Bit - Supertramp
Born in the 50s - The Police
Gimme Some Truth - John Lennon
Junior’s Farm - Paul McCartney
Don’t Let Me Wait Too Long - George Harrison
Snookeroo - Ringo Starr
A little before my time, generally, but from my own collection…
Une fois mais pas deux—Bridgette Fontaine
Hail The Bomb—Beneath the Planet of the Apes (soundtrack)
I’m Just Another Soldier—The Staple Sisters
I Hope That I Don’t Fall in Love With You—Tom Waits
Sword of Orion—Vangelis
The Flight of the Wild Geese—Joan Armatrading
Bad Liver and a Broken Heart—Tom Waits
Running on Empty—Jackson Browne
In the Valley, Ha! Ha!—The Hobbit (soundtrack)
The Man with the Child in His Eyes—Kate Bush
Through Pain to Heaven—Popul Vuh
Veracruz—Warren Zevon
Bob and VINCENT—The Black Hole (soundtrack)
Comfortably Numb—Pink Floyd
The Russians Are Coming (aka Take Five)—Vale Bennett