The Australian Sports Commission has instituted a population tracking program, called AusPlay, to track sports and physical activities' participation in the Australian population. Latest published data I found are for the 12 months from October 2015 to September 2016. So about 12 months back. They were published in December 2016.
Based on those data, the participation rates among kids aged 0-14, for "organised out of school hours activities" were:
SPORT PARTICIPANTS % OF POPULATION
Swimming 1,378,967 30.0%
Football 674,094 14.7%
Australian football 366,462 8.0%
Gymnastics 341,200 7.4%
Netball 332,018 7.2%
Dancing (recreational)329,003 7.2%
Basketball 300,622 6.5%
Tennis 280,239 6.1%
Cricket 256,930 5.6%
Athletics (T&F) 203,873 4.4%
Rugby league 126,754 2.8%
Karate 121,877 2.6%
Dance Sport 106,901 2.3%
Hockey 76,922 1.7%
Touch football 76,039 1.7%
Lifesaving surf 65,986 1.4%
Fitness/gym 59,282 1.3%
Rugby union 57,429 1.2%
Taekwondo 49,261 1.1%
Martial arts 47,279 1.0%
So soccer was #2 and basketball was #7. If we focus just on team sports, soccer was #1 and basketball was #4, split by Aussie Rules and netball.
For boys' team sports, basketball was #4 behind soccer, Aussie Rules and cricket. For girls' team sports, it was #3, behind netball and soccer.
There's a separate table focusing in club sports for kids. I'll put that in a separate post.