A few people have mentioned climbing in various forms on here. This is a really common misconception. Obviously there are risks but not all forms of climbing are the same.
Rock climbing is incredibly safe. Mountain rescue teams produce yearly stats on what their callouts are and depending on where they are based the % of rock climbing accidents is tiny and very very few of them are fatalities or actually involve a fall whilst climbing. More normally it's a trip on descent or a twisted ankle walking up to the crag.
A great part of the skill of climbing is minimising the obvious (and less obvious) risks.
As you move into bigger mountains and icy / glaciated environments the risks increase but I think you'd need to go to Himalyan 8000ers before you got to a kind of climbing that would pass muster on your list.