Over four consecutive American League Championship Series from 1971-74, he hit five home runs in 17 games, including two in a 1973 game and a solo shot in Game 3 of the 1974 ALCS, a 1-0 victory.

Playing almost exclusively at third base in Oakland, Bando played every infield position while with the Brewers, even making one appearance as a relief pitcher in a 1979 game. After retiring, Bando became a front office executive with the team. He was named the Brewers' general manager on October 8, 1991.

For a variety of reasons (including low payroll, bad free agent signings and poor amateur drafts) Bando managed to build only one winning team in seven plus years as GM. That team, the 1992 Brewers, was largely composed of players he inherited from his predecessor Harry Dalton. They ended the season with 92 wins and 70 losses under the only manager Bando ever hired in his tenure as GM, Phil Garner, his former teammate in Oakland.

One of the lowlights of his tenure happened after that 1992 season, when the club did not offer Paul Molitor salary arbitration until the 11th hour. Molitor signed a free-agent deal with the Toronto Blue Jays. At the time, Bando was quoted as disparaging Molitor as "only a (designated hitter)". The following season, Molitor was named the World Series MVP as the Blue Jays won their second championship. This was noted by some as one of the worst public relations blunders in Brewers history, although Bando has since claimed that his words were taken out of context.

Bando held his position as GM until August 12, 1999. He was reassigned within the organization and replaced by former Atlanta Braves assistant GM Dean Taylor.

Bando did a voice cameo in the episode of The Simpsons titled "Regarding Margie."