Many, but perhaps not most. Not shooting, equestrian events, horse racing, archery, dog sled racing, car racing, some fencing matches, and probably more...
Maybe curling:
Curling is co-ed! There are mixed curling championships, and many clubs have co-ed leagues. That said, there is a difference between men and women players, which is why you don't often see men's teams facing off against women's teams, and it usually comes down to the ability to throw takeout rocks.
And a woman in New Zealand beat 40 men and six other women in an ultra marathon.
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