It is well known that ferroelectric and antiferroelectric liquid crystals and liquid crystalline polymers are interesting candidates for their exclusive physical properties and industrial applications. For this reason, a wide variety of ferroelectric and antiferroelectric liquid crystals and liquid crystalline and polymers have been examined already and many are on the growing stage of investigation. The study of complex dielectric constant provides important evidences for understanding the interesting static and dynamic properties of these materials. In this review, we attempt to describe in detail about the collective and molecular dynamics of ferroelectric and antiferroelectric liquid crystals using broadband dielectric spectroscopy. Here, we have shown the dielectric properties of ferroelectric and antiferroelectric liquid crystals and polymers by varying the physical parameters, such as, temperature, frequency, bias field and the thickness of the liquid crystal films.