A modest proposal would be to slowly depopulate Micronesia and store all our radioactive waste there (we already tested nukes there once anyway). It's either that or let the ocean reclaim the islands over the next 100 years. So we might as well get some cheap energy out of the deal.
You are getting downvoted without explanation here. It's a reasonable thought except for a few things. First of which is our space launch and delivery systems aren't 100% reliable. Even one failure means nuclear debris spread over a wide distance - something that would be very difficult to recover from.
I couldn't find a good document from a quick googling, but this was high on the list: http://www.spacelaunchreport.com/log2013.html 81 launches and 3 failures. I don't particularly like those odds.
Aside from safety, there's another insurmountable obstacle to space disposal: cost. You may not appreciate just how much spent fuel there is. I did the math once. Launch cost per pound, times number of pounds of waste, came out to over $1 trillion. Orders of magnitude away from feasibility, even with advancements in launch technology.
