She played the part of Francesca Simpson, estranged wife of Pete Galloway (played by Andy Gray). In 2019, Dunbar appeared in the tours "Calendar Girls" and "Still Game Live: The Final Farewell". Dunbar is a lesbian. She featured on "The Scotsman"'s "Pink List" of LGBT people contributing to Scotland's cultural life in 2014 and was awarded the Role Model of the Year award at the Icon Awards which celebrate Scotland's LGBTI community in 2015. She spoke about her experiences of homophobia and the acceptance she found in Glasgow's LGBT community in a BBC documentary, "I Belong to Glasgow", screened in 2014. She spoke in 2016 about her plans to marry her female partner.