OK, here are some suggestions from pop, country, folk, art song, etc.:

To Each His Own

Tom Paxton's "Home To Me Is Anywhere You Are" (You can hear it on YouTube)

Could I Have This Dance For The Rest Of My Life

Tom Paxton's "Outward Bound"

At Last

Drink To Me Only With Thine Eyes

Can't Help Falling In Love With You

Irving Berlin's "Always"

Longer (Dan Fogelberg)

Endless Love

Me And You (Kenny Chesney)

When You Say Nothing At All

That's The Way Love Goes (Lefty Frissell)

Unforgettable

True Love (from "High Society)

Just The Way You Are (Billy Joel)

I Could Not Ask For More (Edwin McCain)

From This Moment On (Shania Twain)

Born To Be With You (Everly Brothers)

Melody Of Love (Four Tops, I think - from the '50s)

Ebb Tide

How Sweet It Is (To Be Loved By You)

Ring Of Fire

I Walk The Line

When A Man Loves A Woman

Love Will Keep Us Together (Captain & Tenille)

Lay You Down (Conway Twitty)

Years From Now (Don Williams)

Lay Down Beside Me (Don Williams)

Wonderful Tonight (Eric Clapton)

(I'd Be Me) Just Lovin' You (The O'Kanes)

Crazy Little Thing Called Love (Queen)

Crazy Love (Van Morrison)

Just You And I (Eddie Rabbit and Crystal Gayle)

Because You Loved Me (Celine Dion)

Can You Feel The Love Tonight? (from "The Lion King")

Thank God I Found You (Mariah Carey)

In Spite Of Ourselves (John Prine)

You Are The Sunshine Of My Life