So many rhumba-esq possibilities:
Diana
Travelin' Man
Some Kind Of Wonderful (Drifters)
(actually lots of the Drifter's tunes can use this)
Little Darlin' (Diamonds)

Caveat:
I play many of my own bass lines without the auto stuff happening, so a simple, generic drum pattern can be very versatile for me. If you leave the auto parts on, the style tends to sound more song specific. Try shutting off the lead instruments in the accompaniment, and it will wear more musical hats for you!