Besides the Fukushima and Chernobyl type issues with organizations skimping on design, there's still an outstanding problem of nuclear waste storage. The current nuclear power statistics haven't factored in a major waste storage incident because one hasn't happened yet. Until we've witnessed multiple lifecycles of nuclear fuel consumption to full waste breakdown, the safety stats could still swing against nuclear power. Maybe all it'd take is a terrorist incident involving nuclear waste. From what I understand, breeder reactors can vastly reduce the quantity of a power plant's waste and produce waste with a much shorter half life. This isn't widely implemented or shared because that technology can also be used to produce weapons grade material. I think humanity will be ready if/when we can sort out our differences without violence and greed/corruption are no longer problems for most large orgs.
Additionally, renewables seem to have better scalability today than they did in the 90's when I formed my initial opinions. Right now, the worst case situation with a renewable power source is probably a large dam bursting. That's certainly possible due to corruption or terrorism too. If the three gorges dam suddenly burst, that could take out most of Shanghai. For most other renewables, the potential worst case is much milder though.