Here is my list of Olympic sports I'm personally interested in that I think women do a great job at. Of them all, I think the women are the most equal in Gymnastics, Skateboarding and Tennis. They all play on equal playing fields and the people who care about them sports, they care about who wins. I don't watch a ton of women's volleyball but I've always known women to be better at the sport.
Gymnastics - Probably only sport people unanimously care more about the women than the men
Skateboarding - They don't go as big on same obstacles but people have love and respect for the competitors
Tennis - Billy King/Serena give them a good name and people care just as much about women as men
Volleyball - I rather watch women than men whether indoor or outdoor
Golf - Don't know much but I'm sure LPGA is popular with golfers