Nuclear safety and waste are among the most serious of issues, but it is disturbingly common and dishonest to present them without comparison to the safety and waste problems of the alternatives and without optimizing for safety per kilowatt.
Coal particulates, acidic gasses, and CO2 are awful. Natural gas CO2 is awful. I hardly need to elaborate, yet this is the alternative we chose.
It's not just coal that has problems, though: hydroelectric power has an appalling history of accidents leading to enormous death and destruction, yet it maintains a sterling reputation in environmental groups, at least compared to nuclear. Why?
https://en.wikipedia.org/wiki/Dam_failure (sort by fatalities, look for Banqiao Dam at 170000)
Wind and solar installations illustrate why it's important to count per unit of energy produced. They commit the "sin" of low density. With wind, you construct a gigantic edifice of concrete, steel, and fiberglass, likely in a remote location or even out at sea, and at the end of the day you can power a couple neighborhoods, some of the time. In a nuclear power plant, you construct a gigantic edifice of concrete and steel and you can power a couple of cities, all of the time. You have a handful of experts in a concrete bunker, compared to, say, residential solar with an army of contractors running around every roof in a city every few years. Slips and falls won't get a HBO miniseries, but they ruin lives just the same.
At scale, it all must be accounted for. It has been, but the results don't line up with public perception and as a consequence we collectively made a terrible mistake.
https://ourworldindata.org/safest-sources-of-energy