[jyl]

In general, the sports that do not involve judging are speed contests (races), ball and projectile sports (goal scoring, target hitting), combat sports (but that is dependent on rules + technology - compare wrestling, fencing and UFC to Olympic boxing), and strength sports (weightlifting).

There is a movement to get cross (bike) racing into the Winter Olympics. I don't necessarily agree with it, but this would add a non-judging sport.

The judging dependent sports like figure skating and snowboard halfpipe are very popular in terms of participation, audiences, and TV draw. Far more than some of the non-judging sports like biathlon. So they aren't going anywhere.