Okay, first off, there are no "girl sports" or "boy sports". Sports are designed for certain attributes, such as agility, strength, and speed. Some sports, such as weight lifting and strength based, are dominated by men due by the obsession men have with strength that most women do not share.
However, sports like gymnastics depend on many things other than "high flying" or "power". In fact, the most judged factor is agility and grace, which women are notorious for being better at. This is why there generally tend to be more female participants.
Since we do not have co-ed Football, Soccer or Basketball teams, we cannot honestly say which would do better. Basing your finds off of scores would be dishonest. Male teams are given more coaching due to the high levels of interest put into them that are not put into female teams. Male teams are given more support and more encouragement. Men can work through college off a sports tuition, while most women can't. Many women find it IMPOSSIBLE to even get an Atheletics Scholarship since there are next to no female college sports teams.
Also, many sports are dominated by men not due to talent, but due to gender bias. NASCAR, Golf and Snowboarding have seen their fair share of powerful, excellent women who were as good as or better than their male counterparts. In fact, NASCAR and Golf have recently proven that women, despite being considered the "weaker sex", are far better at both sports than their male opponents.
Shawna Robinson finished in the top ten of a national oval-track racing series (6th place in 2000). Earned a Busch Series Pole position with a track recorn in 1994 (174.33), and won a NASCAR Touring Series event in 1988.
Patty Moise broke the one lap closed course speed record at the Talladega Speedway in 1990. In 1995 she set a speed record for qualifing at Atlanta Motor Speedway.
Lella Lombardi registered a top six finish in a World Championship Grand Prix.
Also check Janet Guthrie, Ethel Mobley, Louise Smith, and Sara Christian. Most of these women displayed amazing, awesome skills from their first races to their last. Most men are not able to brag about their achievements.
In golf, we have Michelle Wie, who can whack a ball on average 280 yards. Catherine Zeta Jones, who doesn't play professionally, is even better that more than half the professional male golfers in the league.
Women's Basketball is also picking up, and we're seeing female athletes beginning to show their stuff there as well.
However, due to the male/female ratio, most women are not finishing top. Now, if we had equal female participants to the male, we would probably see a drastic change in who is leading the sport.
Bobsledding, Tennis, Cheerleading, Shuffle Board, Horse Racing, Cutting, Aikido, and Jujitsu are long running female dominated sports (and yes, the female players are often much better than the male, despite the men getting most of the media attention). Soccer is beginning to have women show their stuff and dominate the male players, such as with Mia Hamm, Heather O'Reilly, Kerri Hanks, and Julie Foudy.
So, I believe the answer to that question is... there are many sports that women are better at. Unfortunately, our quantity far outweighs our quality in the minds of most viewers. However, I do not believe very many Men would actually take the time to look this stuff up, as they're not interested in the strengths of a woman anymore.