Andelman's career in sports talk radio began in June 1969, on a suburban station called WUNR.  His show, "Sports Huddle," then moved to Boston's WBZ later that year. Airing on Sunday 7-10 PM weekly, "Sports Huddle," also featured Jim McCarthy and Mark Witkin. Andelman remained at WBZ until mid-1971, when he and the show moved to WEEI. He began a television program for WNAC (now WHDH), Channel 7, in November 1972, which lasted until early 1976. He has also been a host on WCVB Channel 5, and in addition to his early work at WBZ and WEEI, has hosted talk radio shows on WUNR, WHDH, and WWZN.
His son David created The Phantom Gourmet television show.
Hot Dog Safari
Andelman is involved with many charitable organizations, but is best known in the New England area for his Hot Dog Safari, which he has hosted since 1990, raises money for the Joey Fund / Cystic Fibrosis (CF) Foundation. The event started when during one of his Sports Huddle shows he called the hot dog the ultimate sports food. He and his callers then debated over who made the best ones. After some time, he decided to resolve the issue by organizing a bus trip for 200 individuals to various hot dog stands. As Eddie told his listeners, "We are on a hot dog safari." The money from ticket sales went to benefit the Joey Fund. Since then the event has grown, and now includes local celebrities, members of the media and professional athletes, and over the years has raised over a million dollars for the Joey Fund / Cystic Fibrosis Foundation.
Other charitable works
He delivered baseball equipment to youth in the Dominican Republic.
He and his wife Judith (whom he often called "the fabulous Judy" on his Sports Huddle talk show) were made honorary Goodwill Ambassadors by the Aruba Tourism Authority in honor of their having visited the island 53 times over 35 years.
Recognition for works
- He has been named Jimmy Fund Man of the Year
- Joey Fund-Cystic Fibrosis man of the Year
- Big Brother Man of the Year.
Andelman worked at WEEI for ten years until his abrupt departure in December 2001. Reports described him as unhappy with the direction the station had taken toward more confrontational shows like ‘The Dennis and Callahan Show’ and ‘The Big Show’. He was also said to be unhappy when the station paired him up with co-host Dale Arnold as the ‘A-Team’. Although Arnold denied any personal problems between them, the two reportedly didn't get along either on or off the air. WEEI replaced Andelman with former television sportscaster Bob Neumeier.
Andelman comments about WEEI since leaving the station
Regarding the current state of sports radio, including WEEI, Andelman observed,
- “I’ve been planning this show at WTKK for almost two years. Radio should be a theater of the mind, not screaming and stupidity.
- “WEEI has too many people who are not trained and not educated. They pay players and coaches to be on their shows. Then they have to watch what questions they ask. I won't pay guests. Sports radio has become public relations. Everyone kisses ass.” 
He pledged to start a movement called Fans against Idiot Radio (FAIR) as an antidote to "venomous" WEEI.
In early 2002 Andelman joined WWZN, a direct competitor to WEEI in Boston, which hired him as part of its strategy to challenge WEEI as Boston’s sports talk leader, along with former Red Sox play-by-play announcer Sean McDonough and Ryen Russillo. The station additionally paid for the rights to broadcast Boston Celtics basketball games for five years. In the end, however, WWZN couldn’t compete with WEEI, sold its Celtics rights to WRKO and replaced all local broadcasts in October 2005 with a nationally syndicated lineup.
- "See No Evil, Hear No Evil... HA!" Sports Illustrated, September 4, 1972. https://www.si.com/vault/1972/09/04/613622/see-no-evil-hear-no-evilha.
- Shaughnessy, Dan, Pieces of His Mind", The Boston Globe, December 18, 2010
- McLean, Bob, "Andelman Leaves as Channel 7 Sports Critic", Boston Globe, 31 January 1976, p. 4
- Greater Media, Inc. - 17th ANNUAL EDDIE ANDELMAN’S HOT DOG SAFARI SET FOR JUNE 4, 2006 Archived September 2, 2006, at the Wayback Machine.
- EDDIE & JUDY'S TOP 10 REASONS TO RETURN TO ARUBA | Official Travel News from Aruba Archived April 22, 2006, at the Wayback Machine.
- Molori, John, "Andelman quits WEEI", The Eagle-Tribune, Thursday, December 13, 2001. (archived 2005)
- Molori, John, "Sheppard tops list to replace Andelman", The Eagle-Tribune, Friday, December 14, 2001 (archived 2005)
- The Remy Report
- Eddie Andelman and the Sports Huddle
- Company pulls plug on WWZN's local shows - The Boston Globe