First recorded by Spider (1981).
Hit version by Tina Turner (US #5/R&B #6/UK #45/CAN #6/AUS #28/NZ #22/IRE #22 1984).
From the wiki: “‘Better Be Good to Me’ was written by Mike Chapman (‘Mickey‘, ‘Kiss You All Over’), Nicky Chinn and Holly Knight, and enjoyed its greatest commercial success on Tina Turner’s solo album, Private Dancer.
“The song had originally been released in 1981 by Spider, a New York City band that included co-writer Knight as a member. Chapman is an Australian record producer and songwriter who was a major force in the British pop music industry in the 1970s and early 1980s. He created a string of hit singles for artists including Sweet, Suzi Quatro, Smokie, Mud, and Racey, and later produced breakthrough albums for Blondie and The Knack.