Well, there is the UIAA, CE and CN.... but even if that weren't the general issues with rope are it being cut due to rockfall (which I have experienced and been terrified by) or due to repeatedly grinding over an edge.
The ropes in climbing are way safer than many aspects of the sport.
The thing that gives me pause over the last couple of years has been wondering about how picky I should be about partners.
Human error seems like the most dangerous part of the sport to me.