A substantial amount of "nuclear waste" nowadays is low-level waste - things like old radium-dial clocks, or contaminated protective clothing from nuclear power plants, or medical waste from radiotherapy patients. The overall concentration of nuclear material in this waste is very low, and many of the isotopes involved (particularly from materials made radioactive through neutron activation) wouldn't be terribly useful even if they could be effectively extracted.
(But keep in mind that the overall concentration being low doesn't make this stuff safe! There can still potentially be highly radioactive material in the waste, like flecks of radioactive dust in a bin of used laboratory gloves or whatnot.)
This is also one of the big downsides of reprocessing that always gets ignored, when people talk about the waste "reduction". Yes you make a portion of the unusable fission material usable again, but you create large amounts of low level radioactive (& toxic) waste in the process. This still needs to be handled.
(But keep in mind that the overall concentration being low doesn't make this stuff safe! There can still potentially be highly radioactive material in the waste, like flecks of radioactive dust in a bin of used laboratory gloves or whatnot.)