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Browning was a four-time Canadian champion and four-time World champion. He represented Canada in three Olympic Winter Games, finishing eighth in 1988, sixth in 1992 and fifth in 1994. He was given the privilege of carrying the Canadian flag during the opening ceremonies of the 1994 Olympic Games in Lillehammer, Norway.

On March 25, 1988, at the 1988 World Championships in Budapest, Hungary, Browning landed the first quadruple jump in competition.

He was inducted into Canada's Sports Hall of Fame in 1994 and Canada's Figure Skating Hall of Fame in 2000, and was honored with a star on Canada's Walk of Fame in 2001.

1982 - Canadian Championships, Novice - 12th
1983 - Canadian Championships, Novice - 1st
1985 - Canadian Championships, Junior - 1st
1985 - Nebelhorn Trophy - 9th
1985 - Grand Prix St. Gervais - 2nd
1986 - Canadian Championships - 5th
1986 - Grand Prix St. Gervais - 2nd
1986 - Nebelhorn Trophy - 3rd
1986 - NHK Trophy - 7th
1987 - Canadian Championships - 2nd
1987 - World Championships - 15th
1987 - St. Ivel International - 2nd
1987 - Skate Canada - 4th
1988 - Canadian Championships - 2nd
1988 - Olympic Winter Games - 8th
1988 - World Championships - 6th
1988 - Skate Canada - 1st
1988 - NHK Trophy - 3rd
1989 - Canadian Championships - 1st
1989 - World Championships - 1st
1989 - Skate America - 3rd
1989 - NHK Trophy - 3rd
1990 - Canadian Championships - 1st
1990 - World Championships - 1st
1990 - Goodwill Games - 1st
1990 - Skate Canada - 1st
1990 - Nations Cup - 1st
1991 - Canadian Championships - 1st
1991 - World Championships - 1st
1991 - Nations Cup - 1st
1991 - Trophee Lalique - 1st
1992 - Olympic Winter Games - 6th
1992 - World Championships - 2nd
1993 - Canadian Championships - 1st
1993 - World Championships - 1st
1993 - Skate Canada - 1st
1994 - Canadian Championships - 2nd
1994 - Olympic Winter Games - 5th