Following his departure from drama school, Goldwyn began acting in guest star roles in the mid-1980s. Goldwyn is well known for his portrayal of Carl Bruner, friend-turned-betrayer of Patrick Swayze's character Sam Wheat in "Ghost". He is also well known for his turn on the comedy series "Designing Women", in which he played a young interior designer named Kendall Dobbs, who was HIV positive and asked the women of Sugarbakers to design his funeral. In the HBO miniseries "From the Earth to the Moon", Goldwyn played astronaut Neil Armstrong, commander of Apollo 11.