I think the similarities here are that most Aspies are not, um, jocks, and generally hated PE in school. Can't say I blame them, I hated it, too.
My Aspie son tried a few sports, and hated them all -- even martial arts because the Sensei was a total jerk, ex-marine type who would make him do pushups every time he got something wrong (which was quite frequently).
In high school I made him go out for football. Yes, football. He hated it, he hated me, he hated life -- until they won their first game. That was three years ago, and he's still playing on his own, now on Varsity, and while he doesn't LOVE it, he does love the exercise he gets, he loves being on a team where he makes a difference (he's 6'2"), and he LOVES being the smartest kid on the team!
The ironic part? There are two other Aspies on the team, and a kid with NLD. He would have NEVER met these kids had he not been on the team.
I know this is not the answer for most folks -- but it was right for him. He now tells me that when I make him do something tough (very rarely) he knows that it's the right thing!