Yes, a serviceable one would require a Firearm Certificate. The VRTS would not qualify for a free certificate under FA 1968 S32(3), as they are
not fitting it to an aircraft. The Vulcan would not qualify as such under the terms of that act. However they may qualify for a Museum Licence provided they are:
accredited by the Museums, Libraries and Archives Council (MLA) or its successor bodies, Arts Council England, Arts Council of Wales or the Scottish Arts Council.
Otherwise a FAC or SGC will be required. This could present some unwelcome problems and in any case fully functional items are unlikely to be readily available. A deactivated item is definitely preferable and may be easier (but by no means easy) to find. It might be advisable to go down the route of producing a fairly simple replica.
YS