Some songs I think could work:
On the Wings of Love - Jeffrey Osborne
Sweet Love, Giving You the Best That I Got, Caught Up in the Rapture - Anita Baker
Here and Now - Luther Vandross
Moonlight Lady, All of You (duet w/Diana Ross) - Julio Iglesias. I also remember a really beautiful duet he did with Stevie Wonder called "My Love" - would love to hear that one again.
Overjoyed - Stevie Wonder
An Innocent Man, And So It Goes, This is the Time, Lullabye (Goodnight My Angel) - Billy Joel
Last Song - Elton John
Smooth Operator, Your Love is King, The Sweetest Taboo, Is It a Crime? - Sade
Live to Tell, This Used to Be My Playground - Madonna (surprised these haven't popped up on DG yet)
Let's also not forget the softer side of country:
Love, Me - Collin Raye (didn't cross over, but I think it would fit)
Where've You Been - Kathy Mattea
Baby I Lied - Deborah Allen (a fairly big AC hit in its day, it hit #10 on the chart)
Almost anything by Alabama, Eddie Rabbitt, Ronnie Milsap, Dolly, Kenny, Juice Newton, from the early '80s
Unanswered Prayers - Garth Brooks
I Hope You Dance - Lee Ann Womack
Keep in mind also that many of the full-service MOR stations were contemporizing their sound by the early '70s. WHAS in Louisville started the '70s as a traditional MOR, but by the time the Super Outbreak occurred in 1974, they had moved to what would be considered Hot AC. If you listen to the unscoped airchecks of WLW from the day of President Kennedy's assassination, there was only one Billboard rock-era chart hit that I recognized out of all the songs played, and that was "Pocketful of Miracles" by Frank Sinatra (lots of album standards and some big-band hits though). By 1970, they too were playing more contemporary music. In Minneapolis, WCCO was playing Michael Jackson's "Rock With You" in 1980. I guess what my point is here is, are you referring to MOR stations as they sounded in the '50s and '60s, or once they started to move more toward pop-adult in the '70s?
One answer to your question may lie in KBVA "Variety 106.5" in Bella Vista, Arkansas. They have one of the most eclectic MOR playlists I've ever seen... hit singles, standards, album cuts, lite country, even a touch of B/EZ. And they stream!