British Heart Foundation YMCA There is a local one to me in Crewe who has under taken to supply furniture good furniture and are doing a very useful service. I am quite sure there are a number such places who do this. And various such charites will welcome you if what you have is usuable. It does a service for givers and those in need.
Lots of towns have a Furniture Project often organised by the local council in partnership with a charity. They will let you know which Items they are looking for. Also Emmaeus may have a shop locally which collects furniture.
I would like to donate a cooker to a women's refuge or similar, it's electric so will need an electrician as well. I also have other goods in great condition to give but can't find out how to go about this! Any ideas?