Kyshtym was caused by a combination of crappy design caused by ignorance (the USSR was using information they'd stolen from the USA, partial information they partially understood) and a downright horrific level of negligence.
Chernobyl was mainly caused by crappy design. Multiple instances of crappy design piled on top of each other. And then the reactor was used for too long and in ways it wasn't designed for and by people not properly trained for the job.
Fukushima Daiichi was mainly caused by crappy design. In particular, two pieces of it. The backup power generation for the cooling system was in the wrong place and the sea wall wasn't high enough. If either or both of those things were done properly, the meltdown wouldn't have happened. That can be shown by what happened at Fukushima Oniichi. Same general location, same design, built at the same time in the same way, hit by the same earthquake and the same tsunami in about the same way. But the sea wall was higher. So the backup cooling system didn't flood despite being in the wrong place and nothing bad happened there.
None of the infamous nuclear disasters could happen with a modern design.