Dang Scott, I always think of "You Don't Want Me Anymore" and "Sweetheart" back to back too.
I further submit a few suggestions I haven't heard with any regularity in years:
Don't Forget Me (When I'm Gone): Glass Tiger
(Don't You) Forget About Me: Simple Minds
All The Things She Said: Simple Minds
Far From Over: Frank Stallone
When It's Over: Loverboy
Heat of the Moment: Asia
Don't Cry: Asia
Cry: Godley & Creme
Eyes Without A Face: Billy Idol
Blue Highway: Billy Idol
Cradle of Love: Billy Idol
Rock Me Tonite: Billy Squier
Magic: Olivia Newton-John
Twist of Fate: Olivia Newton-John
Xanadu: Olivia Newton-John
Baby Jane: Rod Stewart
After The Fall: Journey
Send Her My Love: Journey
Don't Talk to Strangers: Rick Springfield
Breakin' Us In Two: Joe Jackson
That Was Yesterday: Foreigner
Say You Will: Foreigner
Ebony Eyes: Bob Welch
More Love: Kim Carnes
Lotta Love: Nicolette Larson
Miracles: Jefferson Starship
Hearts: Marty Balin
What Can I Say?: Boz Scaggs
Say Say Say: Michael Jackson & Paul McCartney
Fool (If You Think It's Over): Chris Rea
So Into You: Atlanta Rhythm Section
I'm Not In Love: 10cc
Moonlight Feels Right: Starbuck
Whatcha Gonna Do: Pablo Cruise
Fortress Around Your Heart: Sting
Break My Stride: Matthew Wilder
Somebody's Watching Me: Rockwell
Fire Woman: The Cult
Head To Toe: Lisa Lisa with Cult Jam
Real Love: Doobie Brothers
Your Love: The Outfield
Your Love Is Driving Me Crazy: Sammy Hagar
I Can't Drive 55: Sammy Hagar
Forever Man: Eric Clapton
Smoking Gun: Robert Cray
Look of Love: ABC
Eye of the Tiger: Survivor
I Can't Go For That (No Can Do): Hall & Oates
Did It In A Minute: Hall & Oates
Method of Modern Love: Hall & Oates
Kiss on My List: Hall & Oates
Kyrie: Mister Mister
Is It Love: Mister Mister
Heartlight (Theme From ET): Neil Diamond
Heartlight: Kenny Loggins
Trouble: Lindsey Buckingham
(I Go) Insane: Lindsey Buckingham
Big Love: Fleetwood Mac
Save A Prayer: Duran Duran
A View To A Kill: Duran Duran
Right on Track: Breakfast Club
Devil Inside: INXS
Mystify: INXS
Shattered Dreams: Johnny Hates Jazz
Short People: Randy Newman
Blue Jean: David Bowie
China Girl: David Bowie
Party All The Time: Eddie Murphy
When We Kiss: Bardeux
Gold: Spandau Ballet
Lonely Boy: Andrew Gold
Gold: John Stewart
Elvira: Oak Ridge Boys
Oxo: Whirly Girl
Let My Love Open The Door: Pete Townshend
Gemini Dream: Moody Blues
Yesterday's Songs: Neil Diamond
Lucky: Greg Kihn Band
Breakup Song: Greg Kihn Band
Come Back and Stay: Paul Young
Just Another Day: Jon Secada
Loverboy: Billy Ocean
Is This Love: Whitesnake
Axel F: Harold Faltermeyer
Miami Vice Theme: Jan Hammer
Smuggler's Blues: Glenn Frey
The One Who Loves You: Glenn Frey
I Ain't Gonna Stand For It: Stevie Wonder
Girls: Dwight Twilley
Salt In My Tears: Martin Briley
Wishing (If I Had A Photograph of You): A Flock of Seagulls
Cover Me: Bruce Springsteen
In A Big Country: Big Country
Quarterflash: Harden My Heart
King of Pain: The Police
Synchronicity II: The Police
Murder by Numbers: The Police
On A Carousel: Glass Moon
A Girl Like You: Smithereens
A Girl Like You: Edwyn Collins
Girlfriend: Pebbles