many cultures, include some of those listed, have no-bake cheesecakes that are set in the fridge.
In the UK "normal" cheesecake is not baked. It is also common not to bake cheesecakes in the Netherlands. The no-bake cheesecake is actually pretty common in the US, in fact the recipe is historically on the side of most containers of Philadelphia Cream Cheese, called "icebox cheesecake" since the 1950s.