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.