There are ways to recycle trash indiscriminately. Basically, you have a graphite electrode plasma arc that turns the trash into plasma. Most trash is carbon bond stuff that will combust, so you get energy out of it - and not negligible amounts of energy (maybe 1-5% of per capita energy use for 1000kg /person/year). What remains is a kind of black slurry that solidifies into bricks or black wool that you can use for construction/insulation etc. If you have enough energy, you can continue to ionize the trash and accelerate the charged plasma through a magnetic separator (like a mass spec) to separate the trash atoms based on charge to mass ratio. The second part would consume way too much energy.