For limited scenarios such as geofenced to a city with good weather, it seems that self driving cars (at least Waymo's tech) is good enough, baring some small lapses which are more funny than dangerous. As a general thing everywhere? To me it doesn't look like we're even close (like 10 years) to being there. Also, the problems actually instead of supposedly being solved by self-driving are... very minimal. There will be no noticeable improvement in things that matter the most on the global scale (pollution, congestion, time spent), only marginal practical and maybe financial improvements (there might be more and cheaper taxis).
Self-driving electric trains are already a solved problem that could solve probably the majority of transportation needs, congestion and pollution all in one go.