His first breakthrough arrived in the late 1970s, when he landed the major role of policeman Floyd in Fiorello, which ran at the Equity Liberty Theater in New York City.
The voices of Luz, Lee Wilkof, Jennifer Leigh Warren and others are featured in the 1992 CD release Little Shop of Horrors Soundtrack - Original Off-Broadway Cast.
In 1985, Luz assumed a co-starring role on a primetime series, the CBS dramedy Hometown, a TV adaptation of the hit 1983 film The Big Chill.
He appeared in a recurring role on another new CBS series the following season, playing the ex-boyfriend of Patricia Kalember in the medical drama Kay O'Brien.
The following year, he guest starred as artist Kristopher Gentian on CBS' Beauty and the Beast (in season two's "When the Bluebird Sings"), and played Julian in Rob Reiner's romantic comedy When Harry Met Sally.... After production on that film was complete, Luz signed to co-star in the ABC comedy Free Spirit, which premiered in September 1989.
He portrayed lawyer Thomas J. Harper, a widower with three children who hires a housekeeper/nanny named Winnie (Corinne Bohrer), whom only the kids know is a witch.
In 1991–92, he starred in the Broadway production of Larry Gelbart's City of Angels, alongside Richard Kline and Michael Rupert.
He made a guest appearance on Walker, Texas Ranger as a notorious cult leader in its episode "In the Name of God".
A longtime enthusiast of the fine arts, Luz became involved in many New York area museums and exhibition halls since retiring from acting in 1999.