Brkovich played as a shooting guard on the Michigan State Spartans team that won the 1979 NCAA tournament, defeating Larry Bird's Indiana State Sycamores in the final game. Brkovich opened an earlier tournament game against Notre Dame game with a slam dunk, from which the Fighting Irish never recovered. The following year, Brkovich was the team's co-captain.
He was a member of the Canadian national basketball team which finished fourth in the 1979 Pan American Games. He and the rest of the team were unable to play in the 1980 Summer Olympics, due to the boycott that year.
Brkovich was inducted into the Windsor/Essex County Sports Hall of Fame in 1999.
Brkovich founded a successful auto export dealership in Windsor, and later expanded into real estate ownership and development. He has advocated for the preservation and restoration of historically-significant buildings in Windsor.
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- "OFSAA Past Champions: Boys' Basketball". Retrieved March 17, 2014.
- "Brkovich remains Spartan at heart". The Windsor Star. April 2, 2009. Retrieved March 18, 2014.
- "Mike Brkovich". Windsor/Essex County Sports Hall of Fame. Retrieved March 18, 2014.
- "1981 NBA Draft". basketball-reference.com. Retrieved March 18, 2014.
- Schmidt, Doug (April 26, 2013). "More bulldozers feared by Windsor’s heritage lovers". The Windsor Star. Retrieved March 18, 2014.