In 1976, Furey made his acting debut on the television series The Blue Knight. The following year, he had guest roles in the television series Eight Is Enough and Rafferty, and starred in the television film Just a Little Inconvenience. In 1978, Furey had guest starred on Emergency!, Logan's Run, and CHiPs. In 1980, Furey portrayed Chuck in Island Claws and guest starred as Stewart in The Waltons.
In 1981, Furey portrayed Paul Holt in Friday the 13th Part 2. In 1983, Furey guest starred on Cheers and Hotel. The following year, Furey guest starred on Remington Steele. In 1985, Furey portrayed Stewart on Murder, She Wrote and Winston March III on Brothers. After several television guest appearances in the mid 1980s, Furey returned to film in 1989's Mutant on the Bounty.
Furey appeared on the soap opera All My Children as Lee Hawkins in 1998. From 2001-2005, Furey guest starred as Craig Taylor on Queer as Folk.
