[citation needed] However, Baun is remembered for his performance in game six of the 1963–64 NHL season Stanley Cup finals against the Detroit Red Wings.

On April 23, 1964, having fractured his ankle earlier in the game,[3] he returned in overtime and scored the game-winning goal to even the best-of-seven series at 3-3.

Eventually, other players sought Baun's advice about their contracts and salaries, which eroded his relationship with Leafs' general manager Punch Imlach.

[citation needed] Baun asked to be traded back to an Original Six team, and Oakland accommodated his request, dealing him to the Detroit Red Wings[3] in May 1968.

[citation needed] Baun played in Detroit for two years but early into the 1970–71 season he found himself at odds with coach Ned Harkness, and was placed on waivers.

In the fifth game of the 1972–73 season, he suffered a neck injury after a hit from Mickey Redmond that ended his NHL career at the age of 36.

Baun retired as a player and ran a cattle farm, but three years later, he was hired as head coach of the Toronto Toros of the World Hockey Association.

Playing for the Toros were three of Baun's former Leaf teammates: Frank Mahovlich, Paul Henderson, and Jim Dorey, as well as future NHL stars Mark Napier and Vaclav Nedomansky.

During and after his career, Baun also kept busy as a car salesman, hotel/restaurant owner, real estate agent, and insurance company manager.

[6] On June 1, 2007, Baun was awarded an honorary Doctorate of Laws from the University of Ontario Institute of Technology for his work on and off the ice.