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. He also voiced the title character from the 1999 animated feature film, Tarzan, produced by Walt Disney Feature Animation, and reprised the role in the video games Disney's Tarzan Untamed and Kingdom Hearts. He had a recurring role on the NBC-Universal drama Law & Order: Criminal Intent as Frank Goren, brother of lead character Robert Goren, played by Vincent D'Onofrio. He also had acting and directing duties for the first season of Dexter for Showtime (brother John Goldwyn is executive producer).