Emmaus is a charity that works with the homeless and has a business refurbishing and upcycling furniture, household goods and bicycles. Their labour force is made up of individuals from within their community. Emmaus has transport and will pick donated items up from your home. See: https://www.emmaus.org.uk/oxford for more information.
In addition to Freecycle and Trash Nothing, is Oxford Freegle. Offering a similar model to the others; you can register online and Offer or Request items for free - and subscribe to regular updates to the lists of what's available or wanted. All three of these services are free and have very active communities. Their lists are updated several times a week. See: Freegle, Oxford-Freeglefirstname.lastname@example.org for the Oxford Freegle website.