We have something like that in our area called 'Foundations' which takes old stuff and will give it to new council tenants moving in as a form of care package, but they have very high standards as to what they will accept, it has to be in almost perfect condition.
I've always found that rather odd. The one time I was in need, I would have been happy with any form of help in the short term, but instead of giving us some second hand stuff at a lower cost to the state, they made us wait ages, and then gave us money to buy brand new things. Seems rather snobbish to me.