A native of Brooksville, Kentucky, he began his television career in the 1950s in the New York-based soap opera The Secret Storm as the first actor to play Kip Rysdale. His first nighttime video stint was on Tom, Dick and Harry, one-third of the 90-minute weekly sitcom 90 Bristol Court, in 1964.
He signed up with Universal Studios in 1963 and guest-starred on shows like Wagon Train, Run for Your Life, among many others. Those led him to a co-starring role opposite Raymond Burr on Ironside, as Det. Sgt. Ed Brown. For eight years, he had a wonderful on- and off-screen chemistry with Burr. During the sixth season of Ironside, he and Burr co-starred in the TV Movie Portrait: A Man Whose Name Was John. Galloway stayed through the entire run of Ironside until its cancellation in 1975. He was reunited with Burr on two of his mentor's 25 Perry Mason television movies before reprising his role on Return to Ironside in 1993.
In 1979, Galloway hosted a syndicated game show called The Guinness Game, which was produced by Bob Eubanks. (Galloway made a few appearances on the popular game show Match Game as well.)
In 1983, he appeared in the movie The Big Chill as the husband of the character played by Jobeth Williams
In 1985, Galloway joined the cast of the ABC soap opera General Hospital, playing Buzz Stryker until 1987.
While still acting in California, Galloway had a real-life law enforcement job. In a true case of "life imitates art," he became a reserve deputy sheriff for the San Bernardino County Sheriff's Department. His status as a California peace officer enabled Galloway to work on patrol chasing criminals.
For a time after his acting career, Galloway resided in Hooksett, New Hampshire and wrote a column for the Manchester Union Leader newspaper, espousing his Libertarian political views.
Galloway died at age 71 at the Renown Regional Medical Center in Reno, Nevada, after suffering a stroke two weeks earlier.
He is survived by his wife, Linda Marie; daughters Tracy and Jennifer (from his first wife, Linda Dale Robinson); stepchildren Sheila and Robert; and his brother Paul.