You can't have lead actors perform actual dangerous stunts (despite what marketing might tell you). The financial risks are far to high and insurance would never accept that. Just imagine the financial loss if the actor is not able to complete the movie due to an accident. It only really happens in B-movies and movies produced outside of Hollywood.
Those were often done, but other options that increased engagement were having actors do their own stunts (not always appropriate) or casting stunt workers into bigger parts.