There are no organize sports in Sagada that I know of. You can climb but I don't know of anyplace/anybody in there that does this. You can bring your own badminton set or a basketball (there's a court in St. Mary's) or volleyball, provided you have somebody to play with.
for the more adventurous you can try the cave connection..... you would need to rappel, swim, etc to exit and enter the connecting caves in sagada (lumiang and sumaguing caves included)...
check with the tourist office for fees and other inquiries....
The Sumaging Cave is huge, it could take 1-2 hours exploring it, and it is interconnected to other famed caves of Sagada..
Spelunking is probably the highlight of any visit to Sagada..
On some part of the cave, you need to rapel, using some rustic ropes..great experience.
Equipment: Be prepared to get wet, .. so for cameras place it on ziplock bags..