He made his Broadway debut in Tom Griffin's "Einstein and the Polar Bear" in 1981. His other theatrical credits include the plays "The Dance Next Door", "The Mind with the Dirty Man" and "The Trial of the Catonsville Nine" at the Mark Taper Forum in Los Angeles and "A Cry of Players" at Baltimore's Centre Stage.
His feature film credits include Soldier Blue (1970), The Trial of the Catonsville Nine (1972), The Last Tycoon (1976), The Secret of NIMH (1982), Flight of Black Angel (1991) (TV) and Nick of Time (1995).
Strauss' many television credits include starring in the TV films Young Joe, the Forgotten Kennedy (1977) (TV), Angel on My Shoulder (1980) (TV), A Whale for the Killing (1981) (TV), Heart of Steel (1983) (TV), Under Siege (1986) (TV), _Penalty Phase (1986) (TV)_, Proud Men (1987) (TV), 83 Hours 'Til Dawn (1990) (TV), Fugitive Among Us (1992) (TV), Men Don't Tell (1993) (TV), Thicker Than Blood (1998) (TV), Reunion (1980) (TV), The Yearling (1994) (TV), In the Lake of the Woods (1996) (TV), My Father's Shadow: The Sam Sheppard Story (1998) (TV), A Father's Choice (2000) (TV) and Murder on the Orient Express (2001) (TV), as well as the miniseries "Tender Is the Night" (1985), "Kane & Abel" (1985), Brotherhood of the Rose (1989) (TV), Trial: The Price of Passion (1992) (TV) and Texas Justice (1995) (TV). His latest mini-series appearances were Seasons of Love (1999) (TV), with Rachel Ward and Hume Cronyn, (which he executive-produced) and as La Hire in the CBS four-hour mini-series Joan of Arc (2005) (TV).
Strauss starred for one season in the CBS drama series "Moloney" (1996) and the PAX drama series "Body & Soul" (2002).
He has just completed co-starring as the President of the US in Revolution/Columbia's xXx: State of the Union (2005) for director Lee Tamahori. He recently starred in New York runs of Jon Robin Baitz's new political thriller "Chinese Friends" at Playwrights Horizon Theatre and "Sabina" at Primary Stages.