For both Winter and Summer Olympics I cant just pick one of each as I really enjoy both of them as a whole. I usually just keep the TV on quite loud all day, so I can hear what's going on n matter where I am in the house. When I here something that really interests me, I go watch.
I even enjoy watching sports I would not normally really enjoy. To me , the Olympics are like a buffet of sports to learn and watch.
I suppose a few favorites would be:
Winter - biathlon, free style skiing, speed skating, figure skating, ski jumping
Summer - cycling, archery, gymnastics, equestrian, diving, rowing, shooting, swimming