Eldard made his film debut in the 1989 comedy True Love, written and directed by Nancy Savoca, and co-starring Annabella Sciorra. This film won the Grand Jury Prize at the Sundance Film Festival. Eldard has performed on Broadway in critically acclaimed productions of On the Waterfront, Biloxi Blues, Bash: Latterday Plays, and Death of a Salesman. The latter two were filmed for Showtime productions.
Eldard is known for his role as Mickey Bunce in the cult comedy film Drop Dead Fred (1991).
He is also known for his role as street thug John Reilly in the 1996 film Sleepers, which co-starred Brad Pitt, Billy Crudup, Jason Patric, Kevin Bacon, Dustin Hoffman, Robert De Niro, and Minnie Driver.