In 1984, he produced a five-hour Frank Sinatra special that included many rare V-Discs, out-of-print Columbia recordings and LP cuts from Capitol Records.
For years, Mr. Shapiro was managing editor of WBJC's Program Guide and was also the station's theater and film critic, where he was host of "Video Picks."
In addition to producing a program on the music of the Jewish High Holy Days, where he was on the air with Mr. Palevsky, he also was a frequent guest on Mr. Palevsky's "Face the Music," a weekly show that reviews newly released and reissued recordings.
"Burt was opinionated but not overbearing. He knew what he liked and he had good taste," said Mr. Palevsky. "He really was a very quiet guy. He thought before he talked and when he did, his remarks were always well considered."
He retired from WBJC in 2010.
In 1982, he dressed the set for Barry Levinson's "Diner," for which he provided original long-play 45 RPM records that came from his extensive collection and were the source of most of the music on the film soundtrack.
Mr. Shapiro hosted post-film discussions at Cinema Sundays at the Charles Theatre. After his death, the Charles posted Mr. Shapiro's name on its marquee.
"Burt was a wonderful guy and a pleasure to be around," said James "Buzz" Cusack, who operates the Charles and Senator theaters with his daughter, Kathleen Cusack Lyon.
"He really enjoyed movies and liked talking and writing about them, and every opportunity he had to see a movie, he did," said Mr. Cusack.
Mr. Shapiro was a member of the Broadcast Film Critics' Association and the Association of Recorded Sound Collectors and was a sustaining member of the International Association of Jazz Record Collectors. He had been a member of the advisory board and program committee of the former Baltimore Film Forum.
Mr. Shapiro reviewed books for The Sun.
In addition to baseball, football and college basketball, which he "followed religiously," said his wife, Mr. Shapiro was an American history buff.
He had an encyclopedic knowledge of American history including World War I and World War II, his wife said.
"Burt was a never-ending fact finder, but the facts were found in his brain," she said.
Funeral services were held Tuesday at Sol Levinson & Bros. in Pikesville.
In addition to his wife, he is survived by a stepdaughter, Jennifer Landskroner of Pikesville; a sister, Sandy Shapiro of Phoenix, Baltimore County; and a granddaughter. His stepson, Darin Leavey, died in 2011.