yes, we do...
Not only is the volume of waste reduced by 2 orders of magnitude (:a factor of 100") but the great reduction of transuranic products in the waste reduces the lifetime of the radioactive waste from breeder reactors is much shorter than the lifetime of radioactive wastes from normal reactors which means there are a LOT more safe places to store the waste (you don't need to find a place that's going to be stable for 10,000 years).
"Since breeder reactors on a closed fuel cycle would use nearly all of the actinides fed into them as fuel, their fuel requirements would be reduced by a factor of about 100. The volume of waste they generate would be reduced by a factor of about 100 as well. While there is a huge reduction in the volume of waste from a breeder reactor, the activity of the waste is about the same as that produced by a light water reactor.
In addition, the waste from a breeder reactor has a different decay behavior, because it is made up of different materials. Breeder reactor waste is mostly fission products, while light water reactor waste has a large quantity of transuranics. After spent nuclear fuel has been removed from a light water reactor for longer than 100,000 years, these transuranics would be the main source of radioactivity. Eliminating them would eliminate much of the long-term radioactivity from the spent fuel.
In principle, breeder fuel cycles can recycle and consume all actinides, leaving only fission products. As the graphic in this section indicates, fission products have a peculiar 'gap' in their aggregate half-lives, such that no fission products have a half-life longer than 91 years and shorter than two hundred thousand years. As a result of this physical oddity, after several hundred years in storage, the activity of the radioactive waste from a Fast Breeder Reactor would quickly drop to the low level of the long-lived fission products."
9 "www.ne.anl.gov/pdfs/12_Pyroprocessing_bro_5_12_v14%5B6%5D.pdf" (PDF). Argonne National Laboratory. Retrieved 25 December 2012.
13 Bodansky, David (January 2006). "The Status of Nuclear Waste Disposal". Physics and Society. American Physical Society. 35 (1).
39 Fast BreederReactors
Richard L. Garwin
IBM Thomas J. Watson Research Center
P.O. Box 218, Yorktown Heights, NY 10598