Shanahan, who won two Super Bowls in Denver in the 1990s, spent four seasons with Washington and was 24-40. Frazier had a little more than three seasons with the Vikings to compile an 18-33-1 mark, and Schwartz coached the Lions for five seasons, finishing 29-52.
Schiano got only two years with the Buccaneers, going 11-21. He had three years and $9 million left on his contract.
Tampa Bay also fired general manager Mark Dominik.
The Buccaneers, who also have fired the likes of Tony Dungy and Jon Gruden, hired Schiano out of Rutgers in 2012 and went 6-4 before losing five of their last six games. They dropped their first eight games this season and finished 4-12.
While some of the fired coaches might have seen it coming, Chudzinski certainly didn't, despite going 4-12 and losing his final seven games and 10 of 11.
"I was shocked and disappointed to hear the news that I was fired," said Chudzinski, who grew up a Browns fan. "I am a Cleveland Brown to the core, and always will be. It was an honor to lead our players and coaches, and I appreciate their dedication and sacrifice. I was more excited than ever for this team, as I know we were building a great foundation for future success."
As the coaching searches begin, agents will float the names of their clients Penn State's Bill O'Brien seems to be the hottest candidate and has interviewed for Houston's vacancy. The Texans (2-14) released coach Gary Kubiak late in the season.
Whoever gets hired in each place will face mammoth rebuilding projects. Overall, the six teams seeking new coaches went 24-71-1.
Shanahan had one season remaining on a five-year contract worth about $7 million a season. He blamed salary cap restraints for part of Washington's collapse from NFC East champion in 2012 to 3-13 and eight consecutive losses.