Grumpy, stop being grumpy...I did say "festivals and the like."
In a society were almost everyone has to weild an axe to split and shave wood, ax throwing is a natural competition anytime. Other festivals could be arranged around events outside religion and noble holidays, like every five years when a Royal Pegasus lands at the Millers pond and spends five days in the field birthing and nursing her foal. The foal is always a normal horse and given to one of the towns citizens, chosen by the Pegasus, who is typically a child.
While there are sports of martial prowess, most are not as most people are not warriors by trade. Riding, running, wrasslin', ax toss, ring toss, archery, sling competitions, climbing, shucking corn, baling hay, dance offs, lasso competition, rodeos, greased pigs, chicken catchin tori (were after catching the chicken, the competition isn't complete until the chicken is dead, defeathered, gutted and prepped for cooking, at which point the cooking team takes over), snake handlin', honey raid, stone tossing, sack races, chariot races, horse races, wheel barrow races (with two man teans and some tricky cargo, such as loose dirt, gravel, nuts, corn, etc); there is a lot more than jousting and mock battles to be performed by the knights and nobles.
Still, a six day work week is standard year around in a european type setting. Some groups may even have to add extra work to avoid doing any work on their sabbath. Even on the day of rest, fires need to be maintained, wood cut/stacked/hauled, dinners cooked and farm animals cared for with feeding, watering, milking, egg collecting, etc. Free time, particularly festival times, are truely very precious in such societies.
I just don't see much room for organized sport outside those times, not until the countryside is safe enough and the economy wealthy enough to support wandering minstrels, troupes and circus type organizations. That requires a well developed ecomomy or a ton of freely available magic.
