Hearing about somebody throwing out commons and uncommons just seems like some kind of vandalism to me. There are loads of great commons and uncommons that can go in so many decks! Seriously, if you throw all of them in a box and put them on ebay for free, someone will take them. I, for on, would take a box of random commons/uncommons if I only had to pay for shipping, and all it will cost you is a cardboard box and a few minutes to list it.
It might take a couple of months to sell, but there are only a certain amount of each card in the world, and each one that is destroyed can never come back, and one box sitting in a corner is worth saving them. Giving them away to friends is another great option, but please, PLEASE don’t throw them away.
Rant over.