Curry won 15 gold, seven silver and eight bronze international swimming medals and is the only Australian swimmer to have held Commonwealth and Australian records in every stroke except backstroke. She was an Australian Institute of Sport scholarship holder.
Curry's swimming ability was noticed at a young age and by the age of 12 was one of the fastest swimmers of her age in the world. From 1977 to 1992, she represented Australia 16 times. She won 15 national long course open titles and competed in World Championships in 1978 and 1982. Curry had success in three Commonwealth Games - a silver medal in the 4x100m medley relay at Edmonton in 1978, three gold medals (100m butterfly, 200m and 400m individual medley) and a bronze (100m freestyle) at Brisbane in 1982, and four gold medals (100m butterfly, 50m freestyle, 4x100m freestyle relay, 4x100m medley relay) and one silver (100m freestyle) at Auckland in 1990. Curry also competed in the Olympic Games at Moscow (1980), Los Angeles (1984) and Barcelona (1992). After retiring from swimming, she competed in surf boat rowing competitions and outrigger canoe events, and her team won the World Championship Outrigger Canoe event in 1997.