There are plenty. There are the old songs such as "Greensleeves" and "You Are My Sunshine", then more modern examples such as "Brown Eyed Girl" (Van Morrison), "Mustang Sally" (Mack Rice, though you probably remember it from The Commitments movie) and Alicia Keys and Usher's duet, "My Boo". To quote John Cleese, "Why should I be tarred with the epithet 'looney' merely because I have a pet halibut?" :D