The fabrication and subsequent experiments on graphene created unexpected links between solid-state physics and quantum electrodynamics and triggered an intensive search for other condensed-matter systems with similarly structured electronic bands. At present, a number of such materials has been identified and they form a whole class of Dirac-type materials. These interesting systems host massless as well as massive particles described by relativistic-like Hamiltonians in one, two or three spatial dimensions. Several interesting systems from this class have recently been studied in our group using tools of optical magneto-spectroscopy in a broad, from THz up to visible, spectral range.