Banbury played for the University of Pittsburgh in Pittsburgh, Pennsylvania and was captain of the team in 1908. He also was on the Track & Field team and competed in the long jump. Banbury was the head college football coach for the Bethany Terrible Swedes located in Lindsborg, Kansas.
He held that position for 3 seasons, from 1917 until 1919.
His coaching record at Bethany was 5 wins, 14 losses and 2 ties. As of the conclusion of the 2012 season, this ranks him #13 at Bethany in total wins and #15 at the school in winning percentage (286).