In Hammersmith & Fulham you can contact the council and they'll pick it up at the cheapest rate, might be the same with your council. If it's bagged up and you can get it on the street then the normal rubbish collection service will sometimes take it if you ask nicely/offer money.
I've got a fair bit of old laminate/rubbish from decorating my front room.
Has anyone used a rubbish collection service? which one?