Metaplectic Wigner distributions were recently investigated in as natural generalizations of the classical Wigner distribution, and provide a wide class of time-frequency representations that exploits the structure of the symplectic group. This work serves as a survey on metaplectic Wigner distributions and their applications to the time-frequency analysis of modulation spaces and pseudodifferential operators, topics that are all still poorly understood. We also give some new results, generalizing Lieb’s uncertainty principle to the so-called matrix Wigner distributions and proving the continuity on \(M^p_{v_s}(\mathbb {R}^d)\) spaces of metaplectic pseudodifferential operators with symbols in \(M^{p'}_{v_{-s}}({\mathbb {R}^{2d}})\) , \(1\leq p<\infty \) , \(s\geq 0\) .