Kozak starred in movies such as The House on Sorority Row (1983), Parenthood (1989), Side Out (1990), Arachnophobia (1990), The Taking of Beverly Hills (1991), Necessary Roughness (1991), All I Want for Christmas (1991), The Favor (1994), Magic in the Water (1995) and the soap operas Texas (from November 1981 to December 1982 as Brette Wheeler), Guiding Light (from 1983 to 1985 and a one-day voice-over in February 1990, as both Annabelle Sims Reardon and Annabelle's deceased mother, in 1983 flashbacks, Annie Sims) and Santa Barbara (from 1985 to 1986 and again in 1989, as former nun, Mary Duvall McCormick).