Isn't it possible to engineer plants which use this waste for fuel?
China has the plan to achieve closed nuclear fuel cycle, and there are new breeder reactors being put online to move the country closer to that goal: https://en.wikipedia.org/wiki/CFR-600
Greenpeace had a point back in 1970-ies, but the message got into a myth and subsequent advancements in technology have not been popularized enough to change the public perception.
In short:
> Breeders were at first found attractive because they made more complete use of uranium fuel than light-water reactors, but interest declined after the 1960s as more uranium reserves were found[2] and new methods of uranium enrichment reduced fuel costs.
For some reason some people only speak about the fuel when discussing waste, not the rest of it. I don't know why.