the kinds of nuclear reactors we can build these days simply don't produce waste that lasts that long; a good breeder reactor eats anything that's immediately dangerous
The UK is currently committing to building a whole new set of boiling water reactors while still having not made up its mind about the location of the UK long term waste store, which is taking a while as for reasons of politics, the government is relying on voluteerism rather than geologic suitability to decide where in the country to put it.
We did have a breeder reactor in Dounreay. It is shut down now and the surrounding beaches are off limits for a while, due to old fuel rod fragments being pumped into the sea. The management were also prosecuted for dumping solid nuclear waste in landfill.