The Rosenzweig-Porter (RP) model has recently gained a lot of attention as a paradigmatic (toy) model for studying localisation/delocalisation transitions. In this talk, we report on a joint work with G. Cipolloni and L. Erdös, where we study the eigenvectors of a very general RP model, given by a Hamiltonian H_lambda = H_0 + lambda W. Here, H_0 is a completely arbitrary Hermitian deterministic matrix, lambda > 0 an arbitrary coupling constant, and W a random Wigner matrix. Our results include, in particular, a proof of a mobility edge (for certain H_0), a rigorous justification of a re-entrant localisation phenomenon (as recently put forward by Ghosh et al, PRB 2025), and a proof of a version of the Eigenstate Thermalisation Hypothesis (ETH). To deduce these results on eigenvectors, we establish one- and two-resolvent local laws, which we prove by a dynamical method — the Zigzag strategy.