My wife was in a flat in Wandsworth for a bit, through which I learnt they're not actually required to do recycling collection. Landlord provided a communal refuse bin, but no recycling. Wandsworth won't collect bags on street from residents above businesses (but those businesses can put bags on street twice a week, that's no problem).

I think they suggested a couple of recycling centres it could be taken to, but who really is doing that, especially without a car.