While his family owned and operated NASCAR race cars, Browder had dreamed of a career with NASA, but got sidetracked into an acting career. After college, he moved to London to study at the Central School of Speech and Drama and while in England, landed his first major work. After filming a small role as a rookie captain in the WWII-set drama "Memphis Belle" (1990), Browder was cast as Leonardo in the 1989 Peter Hall-directed London production of "The Merchant of Venice" starring Dustin Hoffman. He was invited along with the rest of the company to recreate the role on Broadway. While his career was off to an auspicious start, a career-making role eluded him.
Browder was briefly seen in the 1991 remake of "A Kiss Before Dying" and portrayed an inept deputy in the quickly-canceled series "The Boys of Twilight" (CBS, 1992). He continued to eke out a living making guest appearances (e.g., playing an old boyfriend of Courtney Thorne-Smith's Alison in "Melrose Place" in 1994) and landing parts in TV-movies (i.e., the third, much younger husband of country singer Dottie West in the 1995 CBS biopic "Big Dreams & Broken Hearts: The Dottie West Story") until he landed the recurring role of Sam Brody on Fox's "Party of Five" during the 1996-97 season. Browder cut a sexy presence as a roofer who begins a flirtation with Julia Salenger(Neve Campbell). For the same network, he called upon his family background to play NASCAR driver in the TV-movie "Steel Chariots" in 1997. After filming an unsold pilot for a UPN sci-fi series, Browder landed the star-making part of Crichton in "Farscape". While the biggest drawback for the actor was the show's Australian shooting location, he clearly reveled in playing the pilot lost in space and given refuge on the bio-mechanoid (part machine, part organic) spaceship with a motley crew.