His most notable achievement was appearing in the 1937 Scottish Cup Final which Aberdeen lost 2–1 to Celtic; the Dons were also runners-up in the 1936–37 Scottish Division One table behind Rangers, having been third behind the Old Firm teams the previous season – McKenzie missed only three matches across those two campaigns.
McKenzie's most notable feat was his participation in the 1937 Scottish Cup Final, where Aberdeen lost to Celtic. Furthermore, the Dons secured second place in the 1936–37 Scottish Division One standings, behind Rangers, and had finished third the previous season – McKenzie only missed three matches across those two campaigns.