Irked by single-stream recycling? Frustrated by the fact that your well-intentioned efforts to help out and separate recyclables come to naught in this fashion?
If it makes you feel any better, communities with single-stream recycling get 20% more participation, because it makes separation more convenient even for people who are not especially dedicated to the notion of recycling.
And you can still help the sorters on the other end by bundling paper and newspaper, preferably separately. Bundling not only cuts down on the labor for the sorters, but keeps the paper cleaner.