Cupboards are generally made of timber and are considered a bulky item for disposal.
Timber furniture at the end of its useful life can often be recycled, or indeed upcycled.
Some Civic Amenity Sites accept this material, check the Waste Services Locator on this site for local details.
If you have a piece of furniture that is still usable, you could consider selling it, passing it on to someone else or donating it – some charity shops accept furniture for resale. Upcycling projects accept furniture for resale or repurposing.