My Demon - it depends on your definition of likable. I like a strong, competent woman. ML is as red as crimson gets. (romcom)
My Perfect Stranger - the FL isn't a giggling buffoon, and while the ML is distant, he isn't my definition of a red flag. (murder mystery)
My Dearest - the FL could be deemed highly unlikeable, but the actress portrays her so charmingly that all is forgiven (and she has a wonderful character arc). The ML is a womanizer. (historical)
Business Proposal - FL is very sweet and likeable; ML is focused on business and not interested in relationships. (romcom)
King the Land - FL is likeable; ML is cold. (romcom)