Switchable and/or tunable filters, methods of manufacture and design structures are disclosed herein. The method of forming the filters includes forming at least one piezoelectric filter structure comprising a plurality of electrodes formed on a piezoelectric substrate. The method further includes forming a micro-electro-mechanical structure (MEMS) comprising a MEMS beam formed above the piezoelectric substrate and at a location in which, upon actuation, the MEMS beam shorts the piezoelectric filter structure by contacting at least one of the plurality of electrodes.