Depending on how many you save per month, a premium Evernote might be useful for this - it allows you to organize and search inside PDFs, among other things. A premium account has a limit of 1 Gb of saved stuff a month, but that seems pretty reasonable to me.

(Edit to clarify: There is no limit to the amount of stuff you can save in an evernote account, just a limit to how much you can add to it per month. There does not, unfortunately, seem to be a way to add a backlog of things all at once, though, so it might not be the best option for people with extensive collections already.)