A family of dielectric resonator antennas, the supershaped DRAs, has been introduced in this communication. These DRAs exhibit wideband matching characteristics and broadside radiation. The cross section of the supershaped DRAs was described by means of a simple analytical expression depending on a set of six real parameters. By modifying these parameters it is possible to re-shape the antennas and achieve a good flexibility in terms of radiation patterns, so to match the requirements imposed by specific applications. The impedance bandwidth and the radiation patterns of the selected antennas designed to act as base-station antennas for wireless local area network systems have been simulated by means of a dedicated numerical tool based on an enhanced locally conformal finite-difference time-domain (FDTD) technique.