I haven't seen these mentioned yet, though I think someone came close when bringing up the Navy Seals, but the following definitely imbue athleticism:
1) Curling
2) Badminton
3) Ping pong
These guys and girls show incredible agility, quick decision making, and incredible focus.
Another sport that hasn't been mentioned but has been gaining in popularity is the mathematical olympiad marathon. It's brains and brawns.
The most recent mathematical olympiad marathon was held in Moscow and all the Kenyans DNF'd at mile one. For those not familiar with how this race works, at every mile marker, you stop and solve an assigned problem. The problems range from abstract algebra, algebraic geometry, number theory, graph theory, topology, and combinatorics (to name a few).
The prize purse for this race was:
1st place: 400K USD
2nd place: 200K USD
3rd place: 100K USD