This talk will provide a pedagogical review of the recent works arXiv:2106.07173 and arXiv:2107.02001. Specifically, we will describe the general formalism of duality rotations for bosonic conformal spin-s gauge fields, with s>1, in a conformally flat four-dimensional spacetime. For each integer spin s>1 we will demonstrate the existence of families of conformal U(1) duality-invariant models, including a generalisation of the so called ModMax Electrodynamics (s=1).