Various examples are provided for highly reconfigurable multiband radio frequency (RF) filters. The multiband RF filters can be continuously tunable. In one example, a multiband RF filter includes a Lyot loop filter that can generate an optical comb using an input optical signal from a tunable Mach-Zehnder interferometer (MZI), a birefringent device, and a polarization rotation angle of a polarization controller. The tunable MZI can include a tunable delay line that can adjust comb spacing of the optical comb. In another example, a multiband RF filter includes a second MZI in series with a first MZI. The second MZI can generate a second tunable output signal from a first tunable output signal from the first MZI. In another example, the multiband RF filter can include a third MZI in series with the second MZI. The third MZI can generate a third tunable output signal from the second tunable output signal.