Shooting nuclear waste into the sun is hard to do
To all those who talk about shooting the waste into the sun: Actually getting something to "fall" into the sun is hard to do. You basically have to cancel out all the orbital energy the waste has from being on the earth, and that's enormous. That's why when we send probes to other planets, we always shoot them in the direction of the earth's orbit, not against it.
It's not practical, so forget it. We have a better chance of figuring out how to dig a really deep hole into the earth's mantle, where the waste could be dissolved and diluted into harmlessness.