Here's a few to get started- all of them much better than "Torn Between Two Lovers"
Etta James- "Tell Mama", "I'd Rather Go Blind", "Security", "Almost Persuaded"
Clarence Carter- "Slip Away", "Too Weak To Fight" etc. - I'm sure there's more
Aretha Franklin- "I Never Loved A Man", "Do Right Woman, Do Right Man"
Wilson Pickett- "Land Of 1000 Dances", "Mustang Sally", "Funky Broadway", "Don't Knock My Love"