The generation of circularly polarized light with a high circularity degree and low azimuthal error sensitivity was analyzed using a system composed by two waveplates. It is shown how the high circularity degree is achieved using a combination of a half- λ∕2 and a quarter- λ∕4 waveplate λ∕2 λ∕4 configuration. However, the lowest azimuthal sensitivity under small variations in the azimuths of the waveplates is obtained by employing a λ∕4 λ∕2 configuration. Analytical calculus particularized for quartz and MgF2 waveplates is presented.